Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
Peter Polácik, Xu-Yan Chen (1996)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “The asymptotic stability of steady solutions of reaction-convection-diffusion equations.”
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
Existence and Asymptotic Behaviour of Solutions in a System of Reaction Diffusion Equations.
Witta Ebel (1986)
Mathematische Zeitschrift
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Diffusion and cross-diffusion in pattern formation
Wei-Ming Ni (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
Saddle-shaped solutions of bistable diffusion equations in all of ℝ2m
Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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Visualization of the Reaction Zone Spreading for an Alumothermic (Redox) Reaction
Liljana Stefanovska, Toma Grcev, Sonja Gegovska-Zajkova (2002)
Visual Mathematics
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Solution of time-dependent convection-diffusion equations with the aid of higher order adaptive methods with respect to space and time
Kůs, Pavel, Dolejší, Vít
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
Gabriel R. Barrenechea, Volker John, Petr Knobloch (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In addition to the standard LPS method, a nonlinear crosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates...