On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems
| dc.contributor.author | Crema, Janete ( ) | |
| dc.contributor.author | Nascimento, Arnaldo Simal do ( ) | |
| dc.date.accessioned | 2021-04-26T19:46:43Z | |
| dc.date.available | 2021-04-26T19:46:43Z | |
| dc.date.issued | 2004-08-12 | |
| dc.identifier.citation | Crema, J., & Nascimento, A. S. D. (2004). On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems. Electronic Journal of Differential Equations, 2004(99), pp. 1-13. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13453 | |
| dc.description.abstract | We present necessary conditions for the formation of internal transition layers in stationary solutions to some singularly perturbed reaction-diffusion systems. In particular we prove that the well-known equal-area condition which is always assumed in a typical set of sufficient conditions for existence of such solutions is actually a necessary hypothesis. Examples of existence and nonexistence of these solutions are given. | en_US |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Reaction-diffusion system | en_US |
| dc.subject | Internal transition layer | en_US |
| dc.subject | Equal-area condition | en_US |
| dc.title | On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
