Do some chemotaxis-growth models possess Lyapunov functionals? |
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| Institution: | Mathematisches Institut der Universität zu Köln, Weyertal 86 -90, D-50931 Köln, Germany |
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| Abstract: | In spirit of a result by W. Alt from 1980 we give some sufficient criteria that guarantee the existence of Lyapunov functionals for parabolic cross-diffusion models including chemotaxis-growth models with non-diffusive chemotactic signals (resp. with non-diffusive memory). |
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| Keywords: | Lyapunov functional Cross-diffusion systems Non-diffusive memory Chemotaxis Othmer–Stevens model |
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