Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model (Q1999699)
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scientific article; zbMATH DE number 7074108
| Language | Label | Description | Also known as |
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| English | Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model |
scientific article; zbMATH DE number 7074108 |
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Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model (English)
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27 June 2019
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The paper is devoted to studying well-posedness, blow-up dynamics and controllability of the classical chemotaxis model. The paper is organized as follows. First, the authors give some preliminaries on functional spaces and controllability. Then, they discuss the blow-up dynamics of the considered system in view of the Moser-Trudinger inequality and prove the existence of a finite time bound for blow-up of solutions. After this, the authors prove the controllability results (see Theorem 1.2). These results are used in the analysis of well-posedness issues for bang-bang-type controls.
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Keller-Segel model
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lower finite time blow-up bound
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null-approximate controllability
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Carleman estimates
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bang-bang controls
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