A note on the variational analysis of the parabolic-parabolic Keller-Segel system in one spatial dimension
| Autor: | Zinsl, Jonathan |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Comptes Rendus Mathematique 353(9), 849--854 (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.crma.2015.06.014 |
| Popis: | We prove the existence of global-in-time weak solutions to a version of the parabolic-parabolic Keller-Segel system in one spatial dimension. If the coupling of the system is suitably weak, we prove convergence of those solutions to the unique equilibrium with an exponential rate. Our proofs are based on an underlying gradient flow structure with respect to a mixed Wasserstein-$L^2$ distance. Comment: 6 pages, no figures |
| Databáze: | arXiv |
| Externí odkaz: |
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