Global solutions to the Navier-Stokes-Landau-Lifshitz system

DOI10.1002/mana.201400419zbMath1332.76014OpenAlexW2178339988MaRDI QIDQ2792261

Xiaoping Zhai, Wei Yan, Yongsheng Li

Publication date: 8 March 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400419

zbMATH Keywords

Besov spaceLittlewood-Paley theoryNavier-Stokes-Landau-Lifshitz system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system ⋮ On global well-posedness to 3D Navier-Stokes-Landau-Lifshitz equations ⋮ Blow up criteria for three-dimensional incompressible Navier-Stokes-Landau-Lifshitz system in the whole space ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations ⋮ Existence of strong solutions for the generalized nonhomogeneous Navier-Stokes-Landau-Lifshitz system ⋮ Local existence and uniqueness of Navier-Stokes-Schrödinger system ⋮ Well-posedness for the generalized Navier-Stokes-Landau-Lifshitz equations

Cites Work

• Global solution to the three-dimensional incompressible flow of liquid crystals
• Liquid crystal flows in two dimensions
• Regularity criteria for the Navier-Stokes-Landau-Lifshitz system
• Uniqueness theorems for the three dimensional Navier-Stokes system
• Global existence for an inhomogeneous fluid
• Some constitutive equations for liquid crystals
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Nonparabolic dissipative systems modeling the flow of liquid crystals

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