The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis (Q2019404)
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scientific article; zbMATH DE number 7335948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis |
scientific article; zbMATH DE number 7335948 |
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The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis (English)
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21 April 2021
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A model of an initial phase of tumor angiogenesis consisting of two parabolic and one elliptic equation is studied in two- and three-dimensional domains. The chemotactic processes are described by attractive and repulsive cross-diffusive mechanisms. Existence of global-in-time solutions is shown when the parameter related to repulsion is sufficiently large.
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chemotaxis
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angiogenesis
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attraction
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repulsion
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global-in-time solutions
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