Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces

DOI10.3934/cpaa.2015.14.2453OpenAlexW2525273816MaRDI QIDQ746512

Hi Jun Choe, Minsuk Yang, Bataa Lkhagvasuren

Publication date: 16 October 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.2453

zbMATH Keywords

incompressible Navier-Stokes equationscritical Besov spacesBanach fixed point theoremKeller-Segel model

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx) Incompressible viscous fluids (76Dxx) Biological fluid mechanics (76Zxx)

Related Items

Temporal decay in negative Besov spaces for the 3D coupled chemotaxis-fluid equations ⋮ Well-posedness for chemotaxis–fluid models in arbitrary dimensions* ⋮ Local and global existence of solutions of a Keller-Segel model coupled to the incompressible fluid equations ⋮ Global existence result for chemotaxis Navier-Stokes equations in the critical Besov spaces ⋮ Global existence in critical Besov spaces for the coupled chemotaxis-fluid equations ⋮ Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces ⋮ Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type ⋮ An application of BMO-type space to chemotaxis-fluid equations ⋮ An extension criterion for the local in time solution of the chemotaxis Navier-Stokes equations in the critical Besov spaces ⋮ Existence and large time behavior to coupled chemotaxis-fluid equations in Besov-Morrey spaces ⋮ Global solutions to chemotaxis-Navier-Stokes equations in critical Besov spaces ⋮ Effects of protection zone and nonlinear growth on a predator-prey model ⋮ Global well-posedness for the 3D incompressible Keller-Segel-Navier-Stokes equations ⋮ An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model

Cites Work

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• On the Navier-Stokes initial value problem. I
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• Bacterial swimming and oxygen transport near contact lines
• Fourier Analysis and Nonlinear Partial Differential Equations
• COUPLED CHEMOTAXIS FLUID MODEL
• Global Solutions to the Coupled Chemotaxis-Fluid Equations

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