An extension criterion for the local in time solution of the chemotaxis Navier-Stokes equations in the critical Besov spaces

DOI10.1007/s11565-016-0265-8OpenAlexW2531265417MaRDI QIDQ1690125

Bataa Lkhagvasuren, Hi Jun Choe

Publication date: 18 January 2018

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-016-0265-8

zbMATH Keywords

chemotaxisBesov spacesNavier-Stokesextension criterion

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 (5)

Global existence for an attraction-repulsion chemotaxis-fluid system in a framework of Besov-Morrey type ⋮ Global existence of weak solutions to a Keller-Segel model with \(L^1\) initial data ⋮ An interpolation inequality involving LlogL$L\log L$ spaces and application to the characterization of blow‐up behavior in a two‐dimensional Keller–Segel–Navier–Stokes system ⋮ A blow-up criterion of the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\) ⋮ An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model

Cites Work

• Unnamed Item
• Unnamed Item
• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• Global existence result for chemotaxis Navier-Stokes equations in the critical Besov spaces
• Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
• Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• 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
• Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes 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

This page was built for publication: An extension criterion for the local in time solution of the chemotaxis Navier-Stokes equations in the critical Besov spaces