Does strong repulsion lead to smooth solutions in a repulsion-attraction chemotaxis system even when starting with highly irregular initial data?
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Publication:6155169
DOI10.3934/dcdsb.2022245zbMath1516.35424arXiv2210.12208OpenAlexW4313064955MaRDI QIDQ6155169
Publication date: 9 June 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.12208
Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic equations (35K10) Blow-up in context of PDEs (35B44) PDEs with measure (35R06) Classical solutions to PDEs (35A09)
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