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.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| 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. <i>Electronic Journal of Differential Equations, 2004</i>(99), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13453 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| 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 | |
| dc.subject | Internal transition layer | |
| dc.subject | Equal-area condition | |
| dc.title | On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems | |
| dc.type | Article |