On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation (Q6177095)
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scientific article; zbMATH DE number 7732460
| Language | Label | Description | Also known as |
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| English | On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation |
scientific article; zbMATH DE number 7732460 |
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On the well-posedness via the JKO approach and a study of blow-up of solutions for a multispecies Keller-Segel chemotaxis system with no mass conservation (English)
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29 August 2023
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The authors apply the Jordan-Kinderlehrer-Otto variational scheme [\textit{R. Jordan} et al., SIAM J. Math. Anal. 29, No. 1, 1--17 (1998; Zbl 0915.35120)] stemming from optimal transportation theory to a parabolic-elliptic chemotaxis system with either birth or death reaction terms. They illustrate these considerations for a system with no mass conservations with numerical simulations. Finally, they derive a sufficient condition for finite time blowup of radially symmetric solutions.
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Keller-Segel model
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reaction term
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gradient flow
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optimal transport
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numerical simulations
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radial solutions
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blow-up criteria
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