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Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\) - MaRDI portal

Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\) (Q2078893)

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scientific article; zbMATH DE number 7483927
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English
Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\)
scientific article; zbMATH DE number 7483927

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    Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\) (English)
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    4 March 2022
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    The authors study a parabolic-elliptic system of chemotaxis with two chemicals: a chemoattractant and a chemorepellent in the whole plane \(\mathbb R^2\). They identify a critical value of mass under which \(L^1\) solutions are global-in-time and bounded in \(L^\infty\) as \(t\to \infty\).
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    parabolic-elliptic chemotaxis
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    attraction
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    repulsion
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    boundedness of solutions
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