Optimal convergence rates for the strong solutions to the compressible Navier-Stokes equations with potential force

DOI10.1016/j.nonrwa.2016.09.005zbMath1354.35072OpenAlexW2531558441MaRDI QIDQ332387

Wenjun Wang

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.09.005

zbMATH Keywords

global existencecompressible Navier-Stokes equationsoptimal convergence ratepotential force

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Optimal large-time behavior of the full 3D compressible MHD system, Space-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction, Unnamed Item, Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force, Optimal convergence rates for the strong solutions to the compressible MHD equations with potential force, Unnamed Item, Optimal decay of compressible Navier-Stokes equations with or without potential force

Cites Work

• Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Convergence rates for the compressible Navier-Stokes equations with general forces
• 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
• Decay estimates for the compressible Navier-Stokes equations in unbounded domains
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
• On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
• Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
• Global existence of small solutions to a class of nonlinear evolution equations
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• Decay of Dissipative Equations and Negative Sobolev Spaces
• CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE