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Diffusion-Induced Blowup in a Nonlinear Parabolic System |
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| Authors: | Noriko Mizoguchi Hirokazu Ninomiya Eiji Yanagida |
| Institution: | (1) Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo, 184-8501, Japan;(2) Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, 520-2194, Japan;(3) Graduate School of Mathematical Sciences, University of Tokyo, Meguro-ku, Tokyo, 153-8914, Japan |
| Abstract: | A two-component semilinear parabolic system on a bounded domain with Neumann boundary conditions is studied. It is shown that for a certain kind of nonlinearity, the blowup of solutions may occur when the diffusion coefficients are not equal, though the corresponding ODE possesses a globally stable equilibrium. |
| Keywords: | Parabolic systems blowup |
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