Elliptic perturbations of dynamical systems with a proper node

  • The paper is devoted to asymptotic analysis of the Dirichlet problem for a second order partial differential equation containing a small parameter multiplying the highest order derivatives. It corresponds to a small perturbation of a dynamical system having a stationary solution in the domain. We focus on the case where the trajectories of the system go into the domain and the stationary solution is a proper node.

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Author details:Oskar Sultanov, Leonid Kalyakin, Nikolai Nikolaevich TarkhanovORCiDGND
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (3 (2014) 4)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Preprint
Year of first publication:2014
Completion year:2014
Publishing institution:Universität Potsdam
Publishing institution:Universitätsverlag Potsdam
Release date:2014/05/12
Tag:asymptotic methods; dynamical system; singular perturbation
Number of pages:12
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Dxx Stability theory [See also 37C75, 93Dxx] / 34D15 Singular perturbations
34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Exx Asymptotic theory / 34E20 Singular perturbations, turning point theory, WKB methods
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Mxx Basic methods in fluid mechanics [See also 65-XX] / 76M45 Asymptotic methods, singular perturbations
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2014
Publishing method:Universitätsverlag Potsdam
License (German):License LogoUrheberrechtsschutz