A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation (Q831114)
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scientific article; zbMATH DE number 7346924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation |
scientific article; zbMATH DE number 7346924 |
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A fully cross-diffusive two-component evolution system: existence and qualitative analysis via entropy-consistent thin-film-type approximation (English)
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10 May 2021
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A doubly cross-diffusion system arising from pursuit-evasion models is studied in one space dimension. The system has two entropy-like stuctures but the continuation of solutions is delicate because of their insufficient regularity. The construction of weak global-in-time solutions is achieved through a fourth order regularization leading to a thin film type problem.
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chemotaxis
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pursuit-evasion
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cross-diffusion
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global-in-time existence
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asymptotic behavior
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0.87728703
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0.8719764
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