Global weak solutions in a three-dimensional degenerate chemotaxis-Navier–Stokes system modeling coral fertilization

DOI10.1088/1361-6544/ab834ezbMath1440.35331OpenAlexW3031786600MaRDI QIDQ5113317

Ji Liu

Publication date: 4 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab834e

zbMATH Keywords

chemotaxisglobal existencenonlinear diffusionNavier-Stokes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

Related Items (3)

Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings ⋮ Global weak solutions in a three-dimensional coral fertilization model involving the Navier-Stokes equations and arbitrary porous medium type diffusion

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