Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation

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概要

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• We study the blow-up profile of radial solutions of a semilinear heat equation with an exponential source term. Our main aim is to show that solutions which can be continued beyond blow-up possess a nonconstant selfsimilar blow-up profile. For some particular solutions we determine this profile precisely.

• 東北大学の論文

著者

• Pulkkinen Aappo

  Institute Of Mathematics Helsinki University Of Technology

• Fila Marek

  Department of Applied Mathematics and Statistics, Comenius University

• Fila Marek

  Department Of Applied Mathematics And Statistics Comenius University

関連論文

• Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation
• Homoclinic and heteroclinic orbits for a semilinear parabolic equation
• Extinction of solutions of the fast diffusion equation (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications)

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