Stable Multiple-layer Stationary Solutions of a Semilinear Parabolic Equation in Two-dimensional Domains
| dc.contributor.author | Nascimento, Arnaldo Simal do | |
| dc.date.accessioned | 2018-11-04T21:29:20Z | |
| dc.date.available | 2018-11-04T21:29:20Z | |
| dc.date.issued | 1997-12-01 | |
| dc.description.abstract | We use Γ-convergence to prove existence of stable multiple-layer stationary solutions (stable patterns) to a reaction-diffusion equation. Given nested simple closed curves in ℝ2, we give sufficient conditions on their curvature so that the reaction-diffusion problem possesses a family of stable patterns. In particular, we extend to two-dimensional domains and to a spatially inhomogeneous source term, a previous result by Yanagida and Miyata. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Nascimento, A. S. (1997). Stable multiple-layer stationary solutions of a semilinear parabolic equation in two-dimensional domains. <i>Electronic Journal of Differential Equations 1997</i>(22), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7768 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Diffusion equation | |
| dc.subject | Gamma-convergence | |
| dc.subject | Transition layers | |
| dc.subject | Stable equilibria | |
| dc.title | Stable Multiple-layer Stationary Solutions of a Semilinear Parabolic Equation in Two-dimensional Domains | en_US |
| dc.type | Article |