Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data

DOI10.1016/j.jmaa.2014.09.024zbMath1308.35231OpenAlexW2056893125MaRDI QIDQ465188

Yong-Hong Wu, Jia Yuan, Fu Yi Xu

Publication date: 31 October 2014

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.2014.09.024

zbMATH Keywords

Besov spacesLittlewood-Paley theoryglobal well-posednessBony's paraproductloss of regularity estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Multiphase and multicomponent flows (76T99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Logarithmically improved regularity criteria for a fluid system with the linear Soret effect

Cites Work

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• On the global well-posedness of a class of Boussinesq-Navier-Stokes systems
• Global regularity results for the 2D Boussinesq equations with vertical dissipation
• The onset of convection in a couple stress fluid saturated porous layer using a thermal non-equilibrium model
• A regularity criterion for a fluid system with the linear Soret effect
• On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
• The 2D Boussinesq equations with vertical viscosity and vertical diffusivity
• Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
• Uniqueness theorems for the three dimensional Navier-Stokes system
• The energy method, stability, and nonlinear convection.
• Global well-posedness of the viscous Boussinesq equations
• Uniformly local \(L^p\) estimate for 2-D vorticity equations and its applications to Euler equations with initial vorticity in bmo
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Holomorphic structures with weak spatial regularity in fluid mechanics
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• Double-diffusive convection in a Darcy porous medium saturated with a couple-stress fluid
• On the global well-posedness of the Boussinesq system with zero viscosity
• Commutator estimates and the euler and navier-stokes equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity