Generalized Navier-Stokes equations with initial data in local \(Q\)-type spaces

DOI10.1016/j.jmaa.2010.04.006zbMath1194.35309arXiv0904.3283OpenAlexW2069968571MaRDI QIDQ984710

Zhichun Zhai, Pengtao Li

Publication date: 20 July 2010

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

Full work available at URL: https://arxiv.org/abs/0904.3283

zbMATH Keywords

generalized Navier-Stokes equationsLorentz spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Function spaces arising in harmonic analysis (42B35) Navier-Stokes equations (35Q30)

Related Items (12)

Well-posedness for fractional Navier-Stokes equations in the largest critical spaces Ḃ∞,∞−(2β−1)(Rn) ⋮ Global well-posedness and long time decay of fractional Navier-Stokes equations in Fourier-Besov spaces ⋮ The Haar system in Besov-type spaces ⋮ Algebra properties in Fourier-Besov spaces and their applications ⋮ Sharp boundedness of quasiconformal composition operators on Triebel-Lizorkin type spaces ⋮ Function spaces of Besov-type and Triebel-Lizorkin-type -- a survey ⋮ Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms ⋮ Generalized Poincaré embeddings and weighted Hardy operator on spaces ⋮ Besov-type spaces with variable smoothness and integrability ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ Well-posedness and decay of solutions for three-dimensional generalized Navier-Stokes equations ⋮ Triebel-Lizorkin type spaces with variable exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generalized incompressible Navier-Stokes equations in Besov spaces
• The dyadic structure and atomic decomposition of \(Q\) spaces in several real variables
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Well-posedness for fractional Navier-Stokes equations in critical spaces \(\dot B _{\infty, \infty}^{-(2\beta-1)}(\mathbb R^n)\)
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
• Regularity criteria for the 3D generalized MHD equations in terms of vorticity
• Asymptotic stability for the Navier-Stokes equations in \(L^{n}\)
• On the uniqueness of weak solutions for the 3D Navier-Stokes equations
• Generalized MHD equations.
• Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
• Regularity criteria for the generalized viscous MHD equations
• The Navier-Stokes equations with data in \(bmo^{-1}\)
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Q spaces of several real variables
• Weighted regularity criteria for the three-dimensional Navier—Stokes equations
• Regularity Criteria for the Generalized MHD Equations
• Well-posedness for the Navier-Stokes equations

This page was built for publication: Generalized Navier-Stokes equations with initial data in local \(Q\)-type spaces