Global existence result for chemotaxis Navier-Stokes equations in the critical Besov spaces

DOI10.1016/j.jmaa.2016.09.050zbMath1354.35168OpenAlexW2524270094MaRDI QIDQ333880

Hi Jun Choe, Bataa Lkhagvasuren

Publication date: 31 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.050

zbMATH Keywords

incompressible Navier-Stokes equationscritical Besov spaceswellposednessKeller-Segel model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Temporal decay in negative Besov spaces for the 3D coupled chemotaxis-fluid equations ⋮ 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 ⋮ Global existence for an attraction-repulsion chemotaxis fluid model with logistic source ⋮ Global solutions to chemotaxis-Navier-Stokes equations in critical Besov spaces ⋮ Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids ⋮ Global well-posedness for the 3D incompressible Keller-Segel-Navier-Stokes equations ⋮ On the fractional chemotaxis Navier-Stokes system in the critical spaces ⋮ An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model

Cites Work

• Unnamed Item
• Unnamed Item
• Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Local well-posedness for the chemotaxis-Navier-Stokes equations in Besov spaces
• Bacterial swimming and oxygen transport near contact lines
• Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• COUPLED CHEMOTAXIS FLUID MODEL
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops