Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces
type: Item
instance of: scholarly article
title: Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces
zbMATH Open document ID: 1397.35186
author: Minghua Yang
author: Suying Liu
author: Zunwei Fu
published in: Advanced Nonlinear Studies
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35E15
Mathematics Subject Classification ID: 42B37
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6921848
zbMATH Keywords: Keller-Segel system
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: Gevrey regularity
zbMATH Keywords: global solution
zbMATH Keywords: Besov space
MaRDI profile type: Publication
full work available at URL: ans-2017-6046
OpenAlex ID: W2803361637
cites work: Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
cites work: Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: Gevrey regularity for a class of dissipative equations with applications to decay
cites work: On Gevrey regularity of the supercritical SQG equation in critical Besov spaces
cites work: Gevrey regularity of solutions to the 3-D Navier-Stokes equations with weighted $l_p$ initial data
cites work: Q3593809
cites work: Existence of smooth solutions to coupled chemotaxis-fluid equations
cites work: Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
cites work: Asymptotic behaviors of solutions for an aerotaxis model coupled to fluid equations
cites work: Uniqueness theorems for the three dimensional Navier-Stokes system
cites work: Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable
cites work: Boundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spaces
cites work: Global existence result for chemotaxis Navier-Stokes equations in the critical Besov spaces
cites work: Wellposedness of the Keller-Segel Navier-Stokes equations in the critical Besov spaces
cites work: $L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators
cites work: LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
cites work: On the uniqueness in critical spaces for compressible Navier-Stokes equations
cites work: Global Solutions to the Coupled Chemotaxis-Fluid Equations
cites work: Gevrey class regularity for the solutions of the Navier-Stokes equations
cites work: On the Navier-Stokes initial value problem. I
cites work: Stability to the global large solutions of 3-D Navier-Stokes equations
cites work: Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
cites work: Global existence and asymptotic behavior of solutions to a chemotaxis–fluid system on general bounded domains
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Well-posedness for the Navier-Stokes equations
cites work: Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
cites work: Global mild solutions of Navier‐Stokes equations
cites work: A coupled chemotaxis-fluid model: global existence
cites work: Gevrey analyticity of solutions to the 3D nematic liquid crystal flows in critical Besov space
cites work: COUPLED CHEMOTAXIS FLUID MODEL
cites work: A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
cites work: Anisotropic Navier-Stokes equation in critical spaces
cites work: Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces
cites work: Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
cites work: Sur une inégalité de type Poincaré
cites work: Q5607484
cites work: Boundedness in a chemotaxis model with oxygen consumption by bacteria
cites work: Bacterial swimming and oxygen transport near contact lines
cites work: Q3009497
cites work: Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
cites work: Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
cites work: Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
cites work: Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
cites work: Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited
cites work: Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces
cites work: Gevrey regularity and existence of Navier-Stokes-Nernst-Planck-Poisson system in critical Besov spaces
cites work: Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
cites work: Local well-posedness for the chemotaxis-Navier-Stokes equations in Besov spaces
cites work: Global well-posedness for the two-dimensional incompressible chemotaxis-Navier-Stokes equations
DOI: 10.1515/ANS-2017-6046
description: scientific article; zbMATH DE number 6921848