Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system

DOI10.1007/s10483-018-2380-8zbMath1402.35230OpenAlexW2885087332WikidataQ129425265 ScholiaQ129425265MaRDI QIDQ1626188

Ruiying Wei, Yin Li, Zheng-An Yao

Publication date: 27 November 2018

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-018-2380-8

zbMATH Keywords

decay rateNavier-Stokes-Landau-Lifshitz systemFourier-splitting method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Weak solutions to PDEs (35D30)

Related Items (7)

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 ⋮ A blowup criterion for nonhomogeneous incompressible Navier–Stokes–Landau–Lifshitz system in 2‐D ⋮ 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

• Unnamed Item
• Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals
• Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
• Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
• Global solution to the incompressible flow of liquid crystals
• Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
• Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
• Global well-posedness and decay of smooth solutions to the non-isothermal model for compressible nematic liquid crystals
• Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space
• Liquid crystal flows in two dimensions
• Regularity criteria for the Navier-Stokes-Landau-Lifshitz system
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Asymptotic behavior of solutions to the compressible nematic liquid crystal system in \(\mathbb{R}^3\)
• Global well-posedness and long time decay of the 3D Boussinesq equations
• Global well-posedness of the three dimensional incompressible anisotropic Navier-Stokes system
• Global solutions to the Navier-Stokes-Landau-Lifshitz system
• On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces
• Large time behavior of isentropic compressible Navier-Stokes system in ℝ ³
• Global existence of small solutions to a class of nonlinear evolution equations
• Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
• Large-Time Behavior in Incompressible Navier–Stokes Equations
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ³
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

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