Quasilinear reaction diffusion systems with mass dissipation
We study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of rea...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-10-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2022042?viewType=HTML |
| _version_ | 1797826472794128384 |
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| author | Evangelos Latos Takashi Suzuki |
| author_facet | Evangelos Latos Takashi Suzuki |
| author_sort | Evangelos Latos |
| collection | DOAJ |
| description | We study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of reaction, and space dimension. |
| first_indexed | 2024-04-09T12:33:21Z |
| format | Article |
| id | doaj.art-3888904b66ea4717b5289beafd407566 |
| institution | Directory Open Access Journal |
| issn | 2640-3501 |
| language | English |
| last_indexed | 2024-04-09T12:33:21Z |
| publishDate | 2022-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematics in Engineering |
| spelling | doaj.art-3888904b66ea4717b5289beafd4075662023-05-16T01:20:15ZengAIMS PressMathematics in Engineering2640-35012022-10-014511310.3934/mine.2022042Quasilinear reaction diffusion systems with mass dissipationEvangelos Latos 0Takashi Suzuki 11. Institut für Mathematik und Wissenschaftliches Rechnen, Heinrichstraße 36, 8010 Graz, Austria2. Center for Mathematical Modeling and Data Science, Osaka University, JapanWe study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of reaction, and space dimension.https://www.aimspress.com/article/doi/10.3934/mine.2022042?viewType=HTMLquasilinear reaction diffusion systemtotal mass dissipationglobal in time classical solutionshigesada-kawasaki-teramoto model |
| spellingShingle | Evangelos Latos Takashi Suzuki Quasilinear reaction diffusion systems with mass dissipation Mathematics in Engineering quasilinear reaction diffusion system total mass dissipation global in time classical solution shigesada-kawasaki-teramoto model |
| title | Quasilinear reaction diffusion systems with mass dissipation |
| title_full | Quasilinear reaction diffusion systems with mass dissipation |
| title_fullStr | Quasilinear reaction diffusion systems with mass dissipation |
| title_full_unstemmed | Quasilinear reaction diffusion systems with mass dissipation |
| title_short | Quasilinear reaction diffusion systems with mass dissipation |
| title_sort | quasilinear reaction diffusion systems with mass dissipation |
| topic | quasilinear reaction diffusion system total mass dissipation global in time classical solution shigesada-kawasaki-teramoto model |
| url | https://www.aimspress.com/article/doi/10.3934/mine.2022042?viewType=HTML |
| work_keys_str_mv | AT evangeloslatos quasilinearreactiondiffusionsystemswithmassdissipation AT takashisuzuki quasilinearreactiondiffusionsystemswithmassdissipation |