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Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces - MaRDI portal

Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces (Q2688974)

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scientific article; zbMATH DE number 7659780

Language	Label	Description	Also known as
English	Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces	scientific article; zbMATH DE number 7659780

Statements

scholarly article

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Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

6 March 2023

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full work available at URL

https://arxiv.org/abs/2210.09859

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zbMATH Keywords

Keller-Segel system

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ill-posedness

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Besov spaces

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MaRDI profile type

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Fourier Analysis and Nonlinear Partial Differential Equations

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The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion

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Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions

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The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity

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Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms

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Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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Traveling bands of chemotactic bacteria: a theoretical analysis

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Threshold for shock formation in the hyperbolic Keller-Segel model

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Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces

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Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces

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Ill-posedness for the Camassa-Holm and related equations in Besov spaces

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Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces

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Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces

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Ill-posedness issue for a multidimensional hyperbolic-parabolic model of chemotaxis in critical Besov spaces \(\dot{B}_{2 d , 1}^{- \frac{ 3}{ 2}} \times ( \dot{B}_{2 d , 1}^{- \frac{ 1}{ 2}} )^d\)

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Random walk with persistence and external bias

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Existence of solutions of the hyperbolic Keller-Segel model

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A Chemotaxis System with Logistic Source

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How strong singularities can be regularized by logistic degradation in the Keller-Segel system?

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Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation

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Ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces

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On the initial value problem for the hyperbolic Keller-Segel equations in Besov spaces

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Well-posedness and non-uniform dependence for the hyperbolic Keller-Segel equation in the Besov framework

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00033-023-01952-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2688974

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