Analyticity for the fractional Navier-Stokes equations in critical Fourier-Besov-Morrey spaces with variable exponents
type: Item
instance of: scholarly article
title: Analyticity for the fractional Navier-Stokes equations in critical Fourier-Besov-Morrey spaces with variable exponents
author: Fatima Ouidirne
author: Chakir Allalou
author: Mohamed Oukessou
published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série
publication date: 2024-09-03T00:00:00Z
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7905323
zbMATH Keywords: Fourier-Besov-Morrey spaces with variable exponents
zbMATH Keywords: fractional Navier-Stokes equations
zbMATH Keywords: analyticity
MaRDI profile type: Publication
cites work: Well-posedness and stability for the viscous primitive equations of geophysics in critical Fourier-Besov-Morrey spaces
cites work: Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces
cites work: Variable exponent Besov-Morrey spaces
cites work: Besov spaces with variable smoothness and integrability
cites work: Q3515821
cites work: Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space
cites work: Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces
cites work: Ill-posedness of the Navier-Stokes equations in a critical space in 3D
cites work: Global existence for the primitive equations with small anisotropic viscosity
cites work: Well-posedness and ill-posedness for the 3D generalized Navier-Stokes equations in \(\dot{F}^{-\alpha,r}_{\frac{3}{\alpha-1}}\)
cites work: Global well-posedness for fractional Navier-Stokes equations in critical Fourier-Besov-Morrey spaces
cites work: Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
cites work: Gevrey class regularity for the solutions of the Navier-Stokes equations
cites work: Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents
cites work: On the Navier-Stokes initial value problem. I
cites work: Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
cites work: Well-posedness for the Navier-Stokes equations
cites work: Global mild solutions of Navier‐Stokes equations
cites work: On the movement of a space-filling viscous liquid
cites work: Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
cites work: On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation
cites work: Besov-Morrey spaces: Function space theory and applications to non-linear PDE
cites work: Global well-posedness and analyticity for the 3D fractional magnetohydrodynamics equations in variable Fourier-Besov spaces
cites work: Global mild solution of the generalized Navier-Stokes equations with the Coriolis force
cites work: Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited
cites work: Well-posedness for fractional Navier-Stokes equations in the largest critical spaces \(\dot B_{\infty ,\infty}^{ -(2\beta - 1)} (\mathbb R^n)\)
cites work: On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion
cites work: Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
DOI: 10.5269/BSPM.62956
description: scientific article; zbMATH DE number 7905323