@phdthesis{Pornsawad2010,
  author    = {Pornsawad, Pornsarp},
  title     = {Solution of nonlinear inverse ill-posed problems via Runge-Kutta methods},
  address   = {Potsdam},
  pages     = {104 S.},
  year      = {2010},
  language  = {en}
}
@article{DevchandNuytsWeingart2010,
  author    = {Devchand, Chandrashekar and Nuyts, Jean and Weingart, Gregor},
  title     = {Matryoshka of Special Democratic Forms},
  issn      = {143-0916},
  year      = {2010},
  abstract  = {Special p-forms are forms which have components phi_{mu_1...mu_p} equal to +1,-1 or 0 in some orthonormal basis. A p-form phiin Lambda^p R^d is called democratic if the set of nonzero components {phi_{mu_1...mu_p}} is symmetric under the transitive action of a subgroup of O(d,Z) on the indices {1,...,d}. Knowledge of these symmetry groups allows us to define mappings of special democratic p-forms in d dimensions to special democratic P-forms in D dimensions for successively higher P geq p and D geq d. In particular, we display a remarkable nested stucture of special forms including a U(3)-invariant 2-form in six dimensions, a G_2-invariant 3-form in seven dimensions, a Spin(7)- invariant 4-form in eight dimensions and a special democratic 6-form Omega in ten dimensions. The latter has the remarkable property that its contraction with one of five distinct bivectors, yields, in the orthogonal eight dimensions, the Spin(7)-invariant 4-form. We discuss various properties of this ten dimensional form.},
  language  = {en}
}
@article{HainzlZoellerWang2010,
  author    = {Hainzl, Sebastian and Z{\"o}ller, Gert and Wang, Rongjiang},
  title     = {Impact of the receiver fault distribution on aftershock activity},
  issn      = {0148-0227},
  doi       = {10.1029/2008jb006224},
  year      = {2010},
  abstract  = {Aftershock models are usually based either on purely empirical relations ignoring the physical mechanism or on deterministic calculations of stress changes on a predefined receiver fault orientation. Here we investigate the effect of considering more realistic fault systems in models based on static Coulomb stress changes. For that purpose, we perform earthquake simulations with elastic half-space stress interactions, rate-and-state dependent frictional earthquake nucleation, and extended ruptures with heterogeneous (fractal) slip distributions. We find that the consideration of earthquake nucleation on multiple receiver fault orientations does not influence the shape of the temporal Omori-type aftershock decay, but changes significantly the predicted spatial patterns and the total number of triggered events. So-called stress shadows with decreased activity almost vanish, and activation decays continuously with increasing distance from the main shock rupture. The total aftershock productivity, which is shown to be almost independent of the assumed background rate, increases significantly if multiple receiver fault planes exist. The application to the 1992 M7.3 Landers, California, aftershock sequence indicates a good agreement with the locations and the total productivity of the observed directly triggered aftershocks.},
  language  = {en}
}
@article{HainzlBrietzkeZoeller2010,
  author    = {Hainzl, Sebastian and Brietzke, Gilbert B. and Z{\"o}ller, Gert},
  title     = {Quantitative earthquake forecasts resulting from static stress triggering},
  issn      = {0148-0227},
  doi       = {10.1029/2010jb007473},
  year      = {2010},
  abstract  = {In recent years, the triggering of earthquakes has been discussed controversially with respect to the underlying mechanisms and the capability to evaluate the resulting seismic hazard. Apart from static stress interactions, other mechanisms including dynamic stress transfer have been proposed to be part of a complex triggering process. Exploiting the theoretical relation between long-term earthquake rates and stressing rate, we demonstrate that static stress changes resulting from an earthquake rupture allow us to predict quantitatively the aftershock activity without tuning specific model parameters. These forecasts are found to be in excellent agreement with all first-order characteristics of aftershocks, in particular, (1) the total number, (2) the power law distance decay, (3) the scaling of the productivity with the main shock magnitude, (4) the foreshock probability, and (5) the empirical Bath law providing the maximum aftershock magnitude, which supports the conclusion that static stress transfer is the major mechanism of earthquake triggering.},
  language  = {en}
}
@article{GlebovKiselevTarkhanov2010,
  author    = {Glebov, Sergei and Kiselev, Oleg and Tarkhanov, Nikolai Nikolaevich},
  title     = {Weakly nonlinear dispersive waves under parametric resonance perturbation},
  issn      = {0022-2526},
  doi       = {10.1111/j.1467-9590.2009.00460.x},
  year      = {2010},
  abstract  = {We consider a solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver. The frequency of parametric perturbation varies slowly and passes through a resonant value, which leads to a solution change. We obtain a new connection formula for the asymptotic solution before and after the resonance.},
  language  = {en}
}
@article{GlebovKiselevTarkhanov2010,
  author    = {Glebov, Sergei and Kiselev, Oleg and Tarkhanov, Nikolai Nikolaevich},
  title     = {Autoresonance in a dissipative system},
  issn      = {1751-8113},
  doi       = {10.1088/1751-8113/43/21/215203},
  year      = {2010},
  abstract  = {We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations.},
  language  = {en}
}
@article{GeeseMandeaLesuretal.2010,
  author    = {Geese, Anne and Mandea, Mioara and Lesur, Vincent and Hayn, Michael},
  title     = {Regional modelling of the Southern African geomagnetic field using harmonic splines},
  issn      = {0956-540X},
  doi       = {10.1111/j.1365-246X.2010.04575.x},
  year      = {2010},
  abstract  = {Over the southern African region the geomagnetic field is weak and changes rapidly. For this area series of geomagnetic field measurements exist since the 1950s. We take advantage of the existing repeat station surveys and observatory annual means, and clean these data sets by eliminating jumps and minimizing external field contributions in the original time-series. This unique data set allows us to obtain a detailed view of the geomagnetic field behaviour in space and time by computing a regional model. For this, we use a system of representation similar to harmonic splines. Initially, the technique is systematically tested on synthetic data. After systematically testing the method on synthetic data, we derive a model for 1961-2001 that gives a detailed view of the fast changes of the geomagnetic field in this region.},
  language  = {en}
}
@article{GarifullinevichSuleimanovTarkhanov2010,
  author    = {Garifullinevich, Rustem Nail and Suleimanov, Bulat Irekovich and Tarkhanov, Nikolai Nikolaevich},
  title     = {Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation},
  issn      = {0375-9601},
  doi       = {10.1016/j.physleta.2010.01.057},
  year      = {2010},
  abstract  = {We get the leading term of the Gurevich-Pitaevskii special solution of the KdV equation in the oscillation zone without using averaging methods.},
  language  = {en}
}
@article{GaciZaourarHamoudietal.2010,
  author    = {Gaci, Said and Zaourar, Naima and Hamoudi, Mehdi and Holschneider, Matthias},
  title     = {Local regularity analysis of strata heterogeneities from sonic logs},
  issn      = {1023-5809},
  doi       = {10.5194/npg-17-455-2010},
  year      = {2010},
  abstract  = {Borehole logs provide geological information about the rocks crossed by the wells. Several properties of rocks can be interpreted in terms of lithology, type and quantity of the fluid filling the pores and fractures. Here, the logs are assumed to be nonhomogeneous Brownian motions (nhBms) which are generalized fractional Brownian motions (fBms) indexed by depth-dependent Hurst parameters H(z). Three techniques, the local wavelet approach (LWA), the average-local wavelet approach (ALWA), and Peltier Algorithm (PA), are suggested to estimate the Hurst functions (or the regularity profiles) from the logs. First, two synthetic sonic logs with different parameters, shaped by the successive random additions (SRA) algorithm, are used to demonstrate the potential of the proposed methods. The obtained Hurst functions are close to the theoretical Hurst functions. Besides, the transitions between the modeled layers are marked by Hurst values discontinuities. It is also shown that PA leads to the best Hurst value estimations. Second, we investigate the multifractional property of sonic logs data recorded at two scientific deep boreholes: the pilot hole VB and the ultra deep main hole HB, drilled for the German Continental Deep Drilling Program (KTB). All the regularity profiles independently obtained for the logs provide a clear correlation with lithology, and from each regularity profile, we derive a similar segmentation in terms of lithological units. The lithological discontinuities (strata' bounds and faults contacts) are located at the local extrema of the Hurst functions. Moreover, the regularity profiles are compared with the KTB estimated porosity logs, showing a significant relation between the local extrema of the Hurst functions and the fluid-filled fractures. The Hurst function may then constitute a tool to characterize underground heterogeneities.},
  language  = {en}
}
@article{FradonRoelly2010,
  author    = {Fradon, Myriam and Roelly, Sylvie},
  title     = {Infinitely many Brownian globules with Brownian radii},
  issn      = {0219-4937},
  doi       = {10.1142/S021949371000311x},
  year      = {2010},
  abstract  = {We consider an infinite system of non-overlapping globules undergoing Brownian motions in R-3. The term globules means that the objects we are dealing with are spherical, but with a radius which is random and time-dependent. The dynamics is modelized by an infinite-dimensional stochastic differential equation with local time. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also find a class of reversible measures.},
  language  = {en}
}