Global classical solvability and stabilization in a two-dimensional Chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal

DOI10.1016/j.jmaa.2024.128545zbMath1547.35704MaRDI QIDQ6597317

Shuai Zhang, Ming-Hui Chen, Zhibo Hou

Publication date: 3 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet boundary conditionsasymptotic stabilizationglobal classical solutionchemotaxis-Navier-Stokes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Biopropulsion in water and in air (76Z10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

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