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Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems
| Title: | Instability of singularly perturbed Neumann layer solutions in reaction-diffusion systems |
| Authors: | Nishiura, Yasumasa Browse this author | | Tsujikawa, Tohru Browse this author |
| Issue Date: | Jul-1990 |
| Publisher: | Department of Mathematics, Faculty of Science, Hiroshima University |
| Journal Title: | Hiroshima Mathematical Journal |
| Volume: | 20 |
| Issue: | 2 |
| Start Page: | 297 |
| End Page: | 329 |
| Abstract: | Instability of mono-Neumann layer solutions to reaction-diffusion systems is proved by using the SLEP method. Mono-Neumann layers are singularly perturbed solutions of boundary layer type which are close to the stable constant state except in a neighborhood of a boundary point and satisfy the Neumann boundary conditions. We also show the dimension of the associated unstable manifold and the asymptotic behavior of the unstable eigenvalue when one of the diffusion coefficients tends to zero. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/40000 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 西浦 廉政
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