Extinction Versus Persistence in Strong Oscillating Flows View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2010-01

AUTHORS

François Hamel, Nikolai Nadirashvili

ABSTRACT

In this paper, we give some conditions for finite-time extinction or persistence of the solutions of diffusion–advection equations in strong and oscillating flows under Dirichlet boundary conditions. The enhancement of the diffusion rate depends on the interplay between strong advection and time-homogenization, and in particular on the ratio between the strength of the flow and its frequency parameter. Quantitative estimates of this ratio, which depend on the geometry of the domain, are provided in the case of a uniform flow. In the general time–space dependent case, the finite-time behavior of the solutions is related to the existence of first integrals of the flow. More... »

PAGES

205-223

References to SciGraph publications

  • 2010-02. Sharp Asymptotics for KPP Pulsating Front Speed-Up and Diffusion Enhancement by Flows in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2005-02. Elliptic Eigenvalue Problems with Large Drift and Applications to Nonlinear Propagation Phenomena in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-04. Boundary Layers and KPP Fronts in a Cellular Flow in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2002. The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations in NONLINEAR PDE’S IN CONDENSED MATTER AND REACTIVE FLOWS
  • 2003-08. Diffusion-Advection in Cellular Flows with Large Peclet Numbers in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
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    http://scigraph.springernature.com/pub.10.1007/s00205-008-0199-0

    DOI

    http://dx.doi.org/10.1007/s00205-008-0199-0

    DIMENSIONS

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