Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type
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Publication:2113504
DOI10.1007/s00220-021-04292-8OpenAlexW3152758575MaRDI QIDQ2113504
Publication date: 14 March 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.08738
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Finite time blow-up for some parabolic systems arising in turbulence theory, Global well-posedness for a two-dimensional Keller-Segel-Euler system of consumption type, Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes, Depleting the signal: Analysis of chemotaxis‐consumption models—A survey
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