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On the Entropic Structure of Reaction-Cross Diffusion Systems
| Content Provider | Scilit |
|---|---|
| Author | Desvillettes, L. Lepoutre, T. Moussa, A. Trescases, A. |
| Copyright Year | 2015 |
| Description | This paper is devoted to the study of systems of reaction-cross diffusion equations arising in population dynamics. New results of existence of weak solutions are presented, allowing to treat systems of two equations in which one of the cross diffusions is convex, while the other one is concave. The treatment of such cases involves a general study of the structure of Lyapunov functionals for cross diffusion systems, and the introduction of a new scheme of approximation, which provides simplified proofs of existence. |
| Related Links | http://arxiv.org/pdf/1410.7377.pdf |
| Ending Page | 1747 |
| Page Count | 43 |
| Starting Page | 1705 |
| ISSN | 03605302 |
| e-ISSN | 15324133 |
| DOI | 10.1080/03605302.2014.998837 |
| Journal | Communications in Partial Differential Equations |
| Issue Number | 9 |
| Volume Number | 40 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2015-06-22 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Cross Diffusion Duality Lemma Entropy Method Global-in-time Existence Population Dynamics Skt Model Strongly Coupled Parabolic Systems |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis |