Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces
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Publication:2688974
DOI10.1007/s00033-023-01952-8OpenAlexW4319870710MaRDI QIDQ2688974
Xiang Fei, Yanghai Yu, Ming Wen Fei
Publication date: 6 March 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.09859
Cites Work
- Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Threshold for shock formation in the hyperbolic Keller-Segel model
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces
- Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces
- On the initial value problem for the hyperbolic Keller-Segel equations in Besov spaces
- Well-posedness and non-uniform dependence for the hyperbolic Keller-Segel equation in the Besov framework
- Ill-posedness issue for a multidimensional hyperbolic-parabolic model of chemotaxis in critical Besov spaces \(\dot{B}_{2 d , 1}^{- \frac{ 3}{ 2}} \times ( \dot{B}_{2 d , 1}^{- \frac{ 1}{ 2}} )^d\)
- How strong singularities can be regularized by logistic degradation in the Keller-Segel system?
- Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
- Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
- Ill-posedness for the Camassa-Holm and related equations in Besov spaces
- Ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces
- Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces
- Random walk with persistence and external bias
- Fourier Analysis and Nonlinear Partial Differential Equations
- Existence of solutions of the hyperbolic Keller-Segel model
- A Chemotaxis System with Logistic Source
- The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
- The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity
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