Filtern
Erscheinungsjahr
Dokumenttyp
- Preprint (567) (entfernen)
Sprache
- Englisch (529)
- Deutsch (35)
- Mehrsprachig (2)
- Französisch (1)
Schlagworte
- index (11)
- boundary value problems (9)
- elliptic operators (9)
- Fredholm property (8)
- K-theory (7)
- manifolds with singularities (6)
- pseudodifferential operators (6)
- relative index (6)
- Atiyah-Patodi-Singer theory (5)
- index theory (5)
- Boundary value problems (4)
- Cauchy problem (4)
- Toeplitz operators (4)
- cluster expansion (4)
- elliptic operator (4)
- manifold with singularities (4)
- mental number line (4)
- numerical cognition (4)
- reversible measure (4)
- surgery (4)
- 'eta' invariant (3)
- Atiyah-Bott condition (3)
- Fredholm operators (3)
- Hodge theory (3)
- Lefschetz number (3)
- Stochastic Differential Equation (3)
- boundary value problem (3)
- conical singularities (3)
- conormal symbol (3)
- differential operators (3)
- elliptic complexes (3)
- ellipticity (3)
- eta invariant (3)
- hard core potential (3)
- index of elliptic operators in subspaces (3)
- local time (3)
- reciprocal class (3)
- regularization (3)
- spectral flow (3)
- star product (3)
- Atiyah-Bott obstruction (2)
- Brownian bridge (2)
- Brownian motion (2)
- Canonical Gibbs measure (2)
- Carleman matrix (2)
- Chemotaxis (2)
- Climate change (2)
- Dirac operator (2)
- Gibbs measure (2)
- Heat equation (2)
- Laplace equation (2)
- Lefschetz fixed point formula (2)
- Markov chain (2)
- Markov processes (2)
- Mellin transform (2)
- Navier-Stokes equations (2)
- Neumann problem (2)
- Perturbed complexes (2)
- Probabilistic Cellular Automata (2)
- Riemann-Hilbert problem (2)
- Riemannian manifold (2)
- WKB method (2)
- Zaremba problem (2)
- aerosol size distribution (2)
- analytic continuation (2)
- attention (2)
- birth-death-mutation-competition point process (2)
- counting process (2)
- curvature (2)
- detailed balance equation (2)
- duality formula (2)
- edge singularities (2)
- edge-degenerate operators (2)
- elliptic boundary value problems (2)
- elliptic families (2)
- elliptic family (2)
- elliptic system (2)
- eta-invariant (2)
- holomorphic solution (2)
- homotopy classification (2)
- ill-posed problem (2)
- index formulas (2)
- integral formulas (2)
- inversion (2)
- linking coefficients (2)
- manifolds with conical singularities (2)
- manifolds with edges (2)
- maximum likelihood estimator (2)
- modn-index (2)
- molecular motor (2)
- monodromy matrix (2)
- non-Markov drift (2)
- p-Laplace operator (2)
- pseudo-differential boundary value problems (2)
- pseudodiferential operators (2)
- pseudodifferential operator (2)
- quantization (2)
- reciprocal processes (2)
- regularizer (2)
- regularizers (2)
- root functions (2)
- singular partial differential equation (2)
- singular perturbation (2)
- skew Brownian motion (2)
- spatial cognition (2)
- spectral theorem (2)
- star-product (2)
- stochastic differential equations (2)
- symmetry conditions (2)
- the Cauchy problem (2)
- time duality (2)
- weighted edge spaces (2)
- weighted spaces (2)
- (co)boundary operator (1)
- 2AFC (1)
- APS problem (1)
- Adaptive evolution (1)
- Agrarwissenschaft (1)
- Agricultural Science (1)
- Air showers (1)
- Alan Kennedy (1)
- Anti-doping (1)
- Approximate likelihood (1)
- Artificial selection (1)
- Athlete (1)
- Atiyah-Singer theorem (1)
- Attitude (1)
- Attractive Dynamics (1)
- Automatisches Beweisen (1)
- Averaging principle (1)
- Beltrami equation (1)
- Betriebssysteme (1)
- Bibel (1)
- Bose-Einstein condensation (1)
- Botanic gardens (1)
- Boundary value methods (1)
- Boundary value problems for first order systems (1)
- Boundary-contact problems (1)
- Brownian motion with discontinuous drift (1)
- C0−semigroup (1)
- CCR-algebra (1)
- Calculus of conormal symbols (1)
- Calderón projections (1)
- Capture into resonance (1)
- Carbon (1)
- Carleman formulas (1)
- Carrera Digital D132 (1)
- Casped plates (1)
- Categories of stratified spaces (1)
- Cauchy Riemann operator (1)
- Cauchy data spaces (1)
- Censoring (1)
- Cherenkov Telescopes (1)
- Chern character (1)
- Clifford algebra (1)
- Climate variability (1)
- Clonal plants (1)
- Corner boundary value problems (1)
- Coupling (1)
- Crack theory (1)
- Cross-effects (1)
- Cycling (1)
- DLR equation (1)
- DPLL (1)
- Data Protection (1)
- Database (1)
- Datenschutz (1)
- Decoupling (1)
- Delphi study (1)
- Diophantine Approximation (1)
- Dirac operators (1)
- Dirac-type operator (1)
- Dirichlet form (1)
- Dirichlet problem (1)
- Dirichlet to Neumann operator (1)
- Dirichlet-to-Neumann operator (1)
- Dispersal (1)
- Drug (1)
- Dtn. 6:18 (1)
- Duality formula (1)
- Earth Sciences (1)
- Echtzeit (1)
- Ecosystem function (1)
- Edge-degenerate operators (1)
- Editorial policies (1)
- Eigenvalues (1)
- Elliptic equation with order degeneration (1)
- Elliptic operators (1)
- Elliptic operators in domains with edges (1)
- Environmental Sciences (1)
- Erfahrungsbericht (1)
- Euler equations (1)
- Euler operator (1)
- Euler's theta functions (1)
- Euler-Lagrange equations (1)
- Evidence-based policy making (1)
- Ex situ conservation (1)
- Extremal problem (1)
- Eye movements (1)
- Eyemind assumption (1)
- Feynman-Kac formula (1)
- Finite difference method (1)
- Fischer-Riesz equations (1)
- Foot orthoses (1)
- Form (1)
- Forschungsdaten (1)
- Fourth order Sturm-Liouville problem (1)
- Fredholm operator (1)
- Functional diversity (1)
- Functional traits (1)
- G-index (1)
- G-trace (1)
- Genetic drift (1)
- Geowissenschaften (1)
- Gevrey classes (1)
- Gibbs perturbation (1)
- Gibbs point processes (1)
- Gibbs state (1)
- Girsanov formula (1)
- Goursat problem (1)
- Green and Mellin edge operators (1)
- Green formula (1)
- Green operator (1)
- Green's operator (1)
- Grushin operator (1)
- Gutzwiller formula (1)
- Halacha (1)
- Halakhah (1)
- Hamilton-Jacobi theory (1)
- Hamiltonian group action (1)
- Hardy‘s inequality (1)
- Hyperbolic-parabolic system (1)
- Hypoelliptic operators (1)
- Hypoellipticity (1)
- Hölder-type source condition (1)
- Ill-posed problem (1)
- In-shoe measurement (1)
- Infinite-dimensional SDE (1)
- Integrability (1)
- Interacting Particle Systems (1)
- Judaism (1)
- Judentum (1)
- KS model (1)
- Klausellernen (1)
- Knowledge creep (1)
- Knowledge utilization (1)
- Kolmogorov-Smirnov type tests (1)
- Korn’s weighted inequality (1)
- LEGO Mindstorms EV3 (1)
- Lagrangian system (1)
- Lame system (1)
- Lamé system (1)
- Land use (1)
- Landscape (1)
- Laplace-Beltrami operator (1)
- Levy measure (1)
- Levy process (1)
- Liouville theorem (1)
- Lipschitz domains (1)
- Logarithmic Sobolev inequality (1)
- Logikkalkül (1)
- Logrank test (1)
- Loop space (1)
- Lévy diffusion approximation (1)
- Lévy diffusions on manifolds (1)
- Lévy measure (1)
- Lévy type processes (1)
- Lφ spectrum (1)
- MHD-equations (1)
- Malliavin calculus (1)
- Management (1)
- Markov-field property (1)
- Martin-Dynkin boundary (1)
- Maslov and Conley–Zehnder index (1)
- Meromorphic operator functions (1)
- Modality (1)
- Modelling (1)
- Montel theorem (1)
- Morse-Smale property (1)
- Multidimensional nonisentropic hydrodynamic model (1)
- Multiwavelength LIDAR (1)
- Newton method (1)
- Non-linear (1)
- Non-proportional hazards (1)
- Nonlinear (1)
- Nonlinear Laplace operator (1)
- Numerov's method (1)
- Operators on manifolds with conical singularities (1)
- Operators on manifolds with edge (1)
- Operators on manifolds with edge and conical exit to infinity (1)
- Operators on manifolds with second order singularities (1)
- Organizational epistemology (1)
- Orthoptera (1)
- Peano phenomena (1)
- Perron's method (1)
- Planetary Rings (1)
- Plant growth (1)
- Plantar Pressure Distribution (1)
- Point process (1)
- Poisson bridge (1)
- Pontrjagin duality (1)
- Prohibited performance enhancement (1)
- Proportional hazards (1)
- Pseudo-differential operators (1)
- Pseudodifferential operators (1)
- Punctuated equilibrium theory (1)
- Quasiconformal mapping (1)
- Quasilinear equations (1)
- Quasilinear hyperbolic system (1)
- ROC curve (1)
- RT_PREEMT patch (1)
- RT_PREEMT-Patch (1)
- Ramified Cauchy problem (1)
- Reading (1)
- Reciprocal process (1)
- Renormalized integral (1)
- Research Data (1)
- Riemann-Roch theorem (1)
- Runge-Kutta methods (1)
- SAT (1)
- SNARC (1)
- SNARC effect (1)
- SPECT (1)
- Saturation model (1)
- Scene perception (1)
- Schrödinger problem (1)
- Second order elliptic equations (1)
- Serial and parallel (1)
- Skorokhod' s invariance principle (1)
- Sobolev problem (1)
- Sobolev spaces with double weights on singular cones (1)
- Statistics (1)
- Stochastic Ordering (1)
- Stochastic differential equations (1)
- Sturm-Liouville problems (1)
- Surface potentials with asymptotics (1)
- Survival models with covariates (1)
- System of nonlocal PDE of first order (1)
- TOP-Guidelines (1)
- TeV gamma-ray astronomy (1)
- Tikhonov regularization (1)
- Two-level interacting process (1)
- Two-sample tests (1)
- Umweltwissenschaften (1)
- Viscosity solutions (1)
- Vitali theorem (1)
- Volterra symbols (1)
- Wasserstein distance (1)
- Wave operator (1)
- Weak Mixing Condition (1)
- Weyl algebras bundle (1)
- Weyl symbol (1)
- Wiener measure (1)
- absorbing boundary (1)
- absorbing set (1)
- absorption (1)
- aerosol distribution (1)
- aggression (1)
- analytic index (1)
- ancient DNA (1)
- anisotropic spaces (1)
- anniversary issue (1)
- applied classical electromagnetism (1)
- approximate inertial manifolds (1)
- asymptotic behavior (1)
- asymptotic expansion (1)
- asymptotic methods (1)
- asymptotic stable (1)
- asymptotics (1)
- asymptotics of solutions (1)
- attenuated Radon transform (1)
- automated theorem proving (1)
- automatic processing (1)
- bar with variable cross-section (1)
- bending of an orthotropic cusped plate (1)
- boun- dedness (1)
- boundary layer (1)
- boundary regularity (1)
- boundary values problems (1)
- bridge (1)
- bridges of random walks (1)
- bundles (1)
- calculus of variations (1)
- canonical Marcus integration (1)
- censoring (1)
- characteristic boundary point (1)
- characteristic points (1)
- children (1)
- classical and quantum reduction (1)
- classical solution (1)
- clause learning (1)
- climatic limitation (1)
- coated and absorbing aerosols (1)
- coercivity (1)
- cohomology (1)
- comparison principle (1)
- completeness (1)
- composition operator (1)
- compound Poisson processes (1)
- compound detection or discrimination (1)
- compressible Euler equations (1)
- computer security (1)
- conditional Wiener measure (1)
- conjugate gradient (1)
- connections (1)
- conormal asymptotic expansions (1)
- conormal asymptotics (1)
- conormal symbols (1)
- conservation laws (1)
- consistency (1)
- contact transformations (1)
- continuity in Sobolev spaces with double weights (1)
- continuous time Markov chain (1)
- corner Sobolev spaces with double weights (1)
- coupled solution (1)
- coupling (1)
- coupling methods (1)
- covering (1)
- cross-cultural (1)
- cusp (1)
- cusped bar (1)
- dating (1)
- dbar-Neumann problem (1)
- de Rham complex (1)
- de Sitter model ; Fundamental solutions ; Decay estimates (1)
- decay of eigenfunctions (1)
- decomposition (1)
- definition (1)
- deformation quantization (1)
- degenerate elliptic equations (1)
- degenerate elliptic systems (1)
- derivational affixes (1)
- design options (1)
- determinantal point processes (1)
- developmental dyscalculia (1)
- dimension functional (1)
- discontinuous Robin condition (1)
- discrete saymptotic types (1)
- distorted Brownian motion (1)
- division algebras (1)
- division of spaces (1)
- divisors (1)
- domains with singularities (1)
- dynamical system (1)
- dynamical system representation (1)
- ecophysiology (1)
- edge Sobolev spaces (1)
- edge algebra (1)
- edge quantizations (1)
- edge spaces (1)
- edge symbol (1)
- eingebettete Systeme (1)
- elastic bar (1)
- elliptic boundary conditions (1)
- elliptic complex (1)
- elliptic functions (1)
- elliptic morphism (1)
- elliptic operators in subspaces (1)
- elliptic operators on non-compact manifolds (1)
- elliptic problem (1)
- elliptic systems (1)
- ellipticity in the edge calculus (1)
- ellipticity of cone operators (1)
- ellipticity of corners operators (1)
- ellipticity with interface conditions (1)
- ellipticity with parameter (1)
- ellipticity with respect to interior and edge symbols (1)
- embedded systems (1)
- embodied cognition (1)
- embodied numerical cognition (1)
- empirical Wasserstein distance (1)
- energetic space (1)
- enlargement of filtration (1)
- environmental policy (1)
- equivalence (1)
- estimation of regression (1)
- evolution equation (1)
- exact simulation (1)
- exact simulation method (1)
- experience report (1)
- experiment (1)
- experiments (1)
- exponential function (1)
- exponential stability (1)
- exterior tensor product (1)
- fibre coordinates (1)
- finiteness theorem (1)
- finsler distance (1)
- first boundary value problem (1)
- fixed point formula (1)
- fluctuation phenomena (1)
- foliated diffusion (1)
- force unification (1)
- fully non-linear degenerate parabolic equations (1)
- fundamental solution (1)
- gauge group (1)
- gender (1)
- generalized Laplace operator (1)
- geodesics (1)
- geographical and altitudinal distribution (1)
- geometric optics approximation (1)
- germination (1)
- gestures (1)
- global exact boundary controllability (1)
- global solution (1)
- global solutions (1)
- globally hyperbolic spacetime (1)
- good-inner function (1)
- goodness of fit (1)
- goodness-of-fit (1)
- hard core interaction (1)
- heat equation (1)
- heavy-tailed distributions (1)
- hitting times (1)
- host-parasite stochastic particle system (1)
- human evolutionary genetics (1)
- hyperbolic dynamical system (1)
- hyperbolic operators (1)
- hypoelliptic estimate (1)
- ill-posed problems (1)
- illposed problem (1)
- index formula (1)
- index of elliptic operator (1)
- index of stability (1)
- infinite divisibility (1)
- infinite-dimensional Brownian diffusion (1)
- infinite-dimensional diffusion (1)
- infinitely divisible point processes (1)
- innate number sense (1)
- integral representation method (1)
- integration by parts on path space (1)
- interaction matrix (1)
- interfaces with conical singularities (1)
- invariant (1)
- invasive (1)
- inverse ill-posed problem (1)
- jump process (1)
- jump processes (1)
- kernel estimator of the hazard rate (1)
- kernel method (1)
- lattice packing and covering (1)
- lattice point (1)
- learning disability (1)
- least squares estimator (1)
- lifespan (1)
- limit theorem for integrated squared difference (1)
- literature review (1)
- logarithmic residue (1)
- logical calculus (1)
- long-term policy (1)
- m-commerce (1)
- machine learning (1)
- manifold with boundary (1)
- manifold with edge (1)
- manifolds with cusps (1)
- mapping degree (1)
- marriage (1)
- matching of asymptotic expansions (1)
- mathematical cognition (1)
- mating (1)
- mechanical effects of light (1)
- media violence (1)
- mediation (1)
- meromorphic family (1)
- metaplectic operators (1)
- minimax convergence rates (1)
- minimax rate (1)
- mixed elliptic problems (1)
- mixed problems (1)
- mobile commerce research (1)
- mod k index (1)
- model selection (1)
- moduli space of flat connections (1)
- modulo n index (1)
- mollifier method (1)
- moment map (1)
- monotone coupling (1)
- monotone method (1)
- monotone random (1)
- monotonicity conditions (1)
- morphological processing (1)
- multilayered coated and absorbing aerosol (1)
- multiple characteristics (1)
- multiplicative Lévy noise (1)
- multiplicative noise (1)
- multiwavelength Lidar (1)
- multiwavelength lidar (1)
- mycorrhiza (1)
- new recursive algorithm (1)
- nitrogen fixation (1)
- noise (1)
- non-coercive boundary conditions (1)
- non-linear integro-differential equations (1)
- non-native speakers (1)
- non-probability samples (1)
- non-regular drift (1)
- non-uniqueness (1)
- nondegenerate condition (1)
- nonhomogeneous boundary value problems (1)
- nonlinear equations (1)
- nonlinear invers problem (1)
- nonlinear optimization (1)
- nonlinear semigroup (1)
- nonlocal problem (1)
- nonparametric regression (1)
- nonsmooth curves (1)
- norm estimates with respect to a parameter (1)
- normal reflection (1)
- number line (1)
- numeracy training (1)
- observational data (1)
- occupational gender segregation (1)
- operating systems (1)
- operational momentum (1)
- operator algebras on manifolds with singularities (1)
- operators on manifolds with conical and edge singularities (1)
- operators on manifolds with edges (1)
- operators on manifolds with singularities (1)
- order reduction (1)
- p-Laplace Operator (1)
- palaeogenomics (1)
- parallelizable spheres (1)
- parameter-dependent cone operators (1)
- parameter-dependent ellipticity (1)
- parameter-dependent pseudodifferential operators (1)
- parasites and diseases (1)
- parity condition (1)
- parity conditions (1)
- partial least squares (1)
- partial ordering (1)
- partnership (1)
- path integral (1)
- periodic Gaussian process (1)
- periodic Ornstein-Uhlenbeck process (1)
- permanental- (1)
- polydisc (1)
- polyhedra and polytopes (1)
- porous medium equation (1)
- principal symbolic hierarchies (1)
- probability summation (1)
- problem of classification (1)
- profile likelihood (1)
- propor-tional hazard mode (1)
- pseudo-diferential operators (1)
- pseudo-differential operators (1)
- pseudo-differentialboundary value problems (1)
- pseudodifferential boundary value problems (1)
- pseudodifferential subspace (1)
- pseudodifferential subspaces (1)
- psychometric functions (1)
- quasilinear Fredholm operator (1)
- quasilinear equation (1)
- random number generation (1)
- random processes (1)
- random walk (1)
- random walk on Abelian group (1)
- random walks on graphs (1)
- real-time (1)
- reciprocal characteristics (1)
- redundancy gain (1)
- regular figures (1)
- regularisation (1)
- regularization methods (1)
- rejection sampling (1)
- relative cohomology (1)
- relative index formulas (1)
- relative η-invariant (1)
- removable set (1)
- removable sets (1)
- reproducing kernel Hilbert space (1)
- reproductive biology (1)
- residue (1)
- response selection (1)
- semi-classical difference operator (1)
- semiconductors (1)
- semipermeable barriers (1)
- semiprocess (1)
- shock wave (1)
- singular drifts (1)
- singular integral equations (1)
- singular point (1)
- skew diffusion (1)
- small noise asymptotic (1)
- small parameter (1)
- socialization effects (1)
- soils (1)
- spatial numerical associations (1)
- spatial-nunmerical association (1)
- specific entropy (1)
- spectral boundary value problems (1)
- spectral independence (1)
- spectral kernel function (1)
- spectral resolution (1)
- spirallike function (1)
- stable limit cycle (1)
- statistical inverse problem (1)
- statistical model selection (1)
- step process (1)
- stereotypes (1)
- stochastic bridge (1)
- stochastic bridges (1)
- stochastic ordering (1)
- stopping rules (1)
- strongly pseudoconvex domains (1)
- subRiemannian geometry (1)
- symbolic calculation (1)
- symmetry group (1)
- symplectic (canonical) transformations (1)
- symplectic manifold (1)
- symplectic reduction (1)
- system Lame (1)
- systems of partial differential equations (1)
- the Dirichlet problem (1)
- the first boundary value problem (1)
- time series (1)
- time series with heavy tails (1)
- time symmetry (1)
- tomogrphy (1)
- trace (1)
- transition path theory (1)
- tunneling (1)
- two-level interacting processes (1)
- ultracontractivity (1)
- uniform compact attractor (1)
- variable projection method (1)
- variational principle (1)
- vibration (1)
- visual perception (1)
- weak boundary values (1)
- weighted Hölder spaces (1)
- weighted Sobolev space (1)
- weighted Sobolev spaces with discrete saymptotics (1)
- weighted spaces with asymptotics (1)
- zero-noise limit (1)
- η-invariant (1)
- ∂-operator (1)
Institut
- Institut für Mathematik (378)
- Interdisziplinäres Zentrum für Dynamik komplexer Systeme (52)
- Institut für Physik und Astronomie (44)
- Department Psychologie (20)
- Institut für Anglistik und Amerikanistik (20)
- Institut für Biochemie und Biologie (20)
- Institut für Geowissenschaften (17)
- Department Sport- und Gesundheitswissenschaften (8)
- Institut für Chemie (8)
- Extern (7)
In this paper we consider the hypo-ellipticity of differential forms on a closed manifold.The main results show that there are some topological obstruct for the existence of the differential forms with hypoellipticity.
Heterocystous cyanobacteria of the genus Nodularia form extensive blooms in the Baltic Sea and contribute substantially to the total annual primary production. Moreover, they dispense a large fraction of new nitrogen to the ecosystem when inorganic nitrogen concentration in summer is low. Thus, it is of ecological importance to know how Nodularia will react to future environmental changes, in particular to increasing carbon dioxide (CO2) concentrations and what consequences there might arise for cycling of organic matter in the Baltic Sea. Here, we determined carbon (C) and dinitrogen (N-2) fixation rates, growth, elemental stoichiometry of particulate organic matter and nitrogen turnover in batch cultures of the heterocystous cyanobacterium Nodularia spumigena under low (median 315 mu atm), mid (median 353 mu atm), and high (median 548 mu atm) CO2 concentrations. Our results demonstrate an overall stimulating effect of rising pCO(2) on C and N-2 fixation, as well as on cell growth. An increase in pCO(2) during incubation days 0 to 9 resulted in an elevation in growth rate by 84 +/- 38% (low vs. high pCO(2)) and 40 +/- 25% (mid vs. high pCO(2)), as well as in N-2 fixation by 93 +/- 35% and 38 +/- 1%, respectively. C uptake rates showed high standard deviations within treatments and in between sampling days. Nevertheless, C fixation in the high pCO(2) treatment was elevated compared to the other two treatments by 97% (high vs. low) and 44% (high vs. mid) at day 0 and day 3, but this effect diminished afterwards. Additionally, elevation in carbon to nitrogen and nitrogen to phosphorus ratios of the particulate biomass formed (POC : POP and PON : POP) was observed at high pCO(2). Our findings suggest that rising pCO(2) stimulates the growth of heterocystous diazotrophic cyanobacteria, in a similar way as reported for the non-heterocystous diazotroph Trichodesmium. Implications for biogeochemical cycling and food web dynamics, as well as ecological and socio-economical aspects in the Baltic Sea are discussed.
Preface
(2011)
In a recent paper with N. Tarkhanov, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.
Using a special technique of data analysis, we have found out 34 grand minima of solar activity obtained from a 7,700 years long Δ14C record. The method used rests on a proper filtering of the Δ14C record and the extrapolation of verifiable results for the later history back in time. Additionally, we use a method of nonlinear dynamics, the recurrence rate, to back up the results. Our findings are not contradictory to the record of solar maxima resp. minima by Eddy [5], but constitute a considerable extension. Hence, it has become possible to look closer at the validity of models. This way, we have tested several models for solar activity, esp. the model of Barnes et al. [1]. There are hints for that the grand minima might solely be driven by the 209 year period found in the Δ14C record.
Harness-Prozesse
(2010)
Harness-Prozesse finden in der Forschung immer mehr Anwendung. Vor allem gewinnen Harness-Prozesse in stetiger Zeit an Bedeutung. Grundlegende Literatur zu diesem Thema ist allerdings wenig vorhanden. In der vorliegenden Arbeit wird die vorhandene Grundlagenliteratur zu Harness-Prozessen in diskreter und stetiger Zeit aufgearbeitet und Beweise ausgeführt, die bisher nur skizziert waren. Ziel dessen ist die Existenz einer Zerlegung von Harness-Prozessen über Z beziehungsweise R+ nachzuweisen.
The nonlinear interaction of waves excited by the modified two-stream instability (Farley-Buneman instability) is considered. It is found that, during the linear stage of wave growth, the enhanced pressure of the high-frequency part of the waves locally generates a ponderomotive force. This force acts on the plasma particles and redistributes them. Thus an additional electrostatic polarization field occurs, which influences the low-frequency part of the waves. Then, the low-frequency waves also cause a redistribution of the high-frequency waves. In the paper, a self-consistent system of equations is obtained, which describes the nonlinear interaction of the waves. It is shown that the considered mechanism of wave interaction causes a nonlinear stabilization of the high-frequency waves’ growth and a formation of local density structures of the charged particles. The density modifications of the charged particles during the non-linear stage of wave growth and the possible interval of aspect angles of the high-frequency waves are estimated.
Basing on recent solar models, the excitation of ion-acoustic turbulence in the weaklycollisional, fully and partially-ionized regions of the solar atmosphere is investigated. Within the frame of hydrodynamics, conditions are found under which the heating of the plasma by ion-acoustic type waves is more effective than the Joule heating. Taking into account wave and Joule heating effects, a nonlinear differential equation is derived, which describes the evolution of nonlinear ion-acoustic waves in the collisional plasma.
The Voyager 2 Photopolarimeter experiment has yielded the highest resolved data of Saturn's rings, exhibiting a wide variety of features. The B-ring region between 105000 km and 110000 km distance from Saturn has been investigated. It has a high matter density and contains no significance features visible by eye. Analysis with statistical methods has let us to the detection of two significant events. These features are correlated with the inner 3:2 resonances of the F-ring shepherd satellites Pandora and Prometheus, and may be evidence of large ring paricles caught in the corotation resonances.
We consider a mixed problem for a degenerate differentialoperator equation of higher order. We establish some embedding theorems in weighted Sobolev spaces and show existence and uniqueness of the generalized solution of this problem. We also give a description of the spectrum for the corresponding operator.