Mathematical challenges in the theory of chemotaxis
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Publication:1790430
DOI10.2478/amsil-2018-0004zbMath1403.35300OpenAlexW2804011574MaRDI QIDQ1790430
Publication date: 2 October 2018
Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/amsil-2018-0004
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items (6)
Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ The fast signal diffusion limit in a Keller-Segel system ⋮ The microscopic derivation and well-posedness of the stochastic Keller-Segel equation ⋮ On global existence and blowup of solutions of stochastic Keller-Segel type equation ⋮ The one-dimensional stochastic Keller-Segel model with time-homogeneous spatial Wiener processes ⋮ Boundedness of solutions to an attraction-repulsion chemotaxis model in \(\mathbb{R}^2\)
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