Two New Functional Inequalities and Their Application to the Eventual Smoothness of Solutions to a Chemotaxis-Navier–Stokes System with Rotational Flux

DOI10.1137/22m1531178arXiv2211.00624OpenAlexW4388456546MaRDI QIDQ6069132

Frederic Heihoff

Publication date: 13 November 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.00624

zbMATH Keywords

generalized solutionsvariational methodschemotaxisfunctional inequalitiesTrudinger-Moser inequalityNavier-Stokeseventual smoothnesslong time stabilization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Eventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumption

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