A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems

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概要

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• We study reaction-diffusion systems of propagator-controller type in the one-dimensional unit interval. When propagator diffuses slowly, we establish the existence of transition layer equilibria by using singular perturbation expansions and a Lyapunov-Schmidt reduction method. Our approach to the existence also enables us to simultaneously obtain a stability criterion for the layer equilibria.

• 広島大学の論文

著者

• Hale Jack

  Center For Dynamical Systems And Nonlinear Studies Georgia Institute Of Technology Georgia

• Sakamoto Kunimochi

  Department of Mathematics, Faculty of Science, Hiroshima University

• Sakamoto Kunimochi

  Department Of Mathematical And Life Sciences Graduate School Of Science Hiroshima University

関連論文

• Multi-dimensional transition layers for an exothermic reaction-diffusion system in long cylindrical domains
• A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems
• Construction and stability analysis of transition layer solutions in reaction-diffusion systems

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