The optimal decay rate of strong solution for the compressible Navier-Stokes equations with large initial data

DOI10.1016/j.physd.2020.132506zbMath1490.76175arXiv1911.04791OpenAlexW3015620563MaRDI QIDQ2115538

Jincheng Gao, Zhengzhen Wei, Zheng-An Yao

Publication date: 17 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04791

zbMATH Keywords

compressible Navier-Stokes equationslarge initial dataoptimal decay rate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

Related Items

Estimation of decay rates to large-solutions of 3D compressible magnetohydrodynamic system, Optimal large-time behavior of the full 3D compressible MHD system, Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data, Optimal large time behavior of the full compressible Navier-Stokes system in \(\mathbb{R}^3\), The sharp time-decay rates for one-dimensional compressible isentropic Navier-Stokes and magnetohydrodynamic flows, Decay of strong solution for the compressible Navier-Stokes equations with large initial data, Optimal decay rates of higher-order derivatives of solutions to the compressible Navier-Stokes system, Optimal decay of compressible Navier-Stokes equations with or without potential force

Cites Work

• Unnamed Item
• Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data
• Global existence and optimal decay rate for the strong solutions in \(H^2\) to the 3-D compressible Navier-Stokes equations without heat conductivity
• Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
• Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
• A Beale-Kato-Majda criterion for three-dimensional compressible viscous heat-conductive flows
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• \(L^ 2\) 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
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• On global solutions of Cauchy problems for compressible Navier-Stokes equations
• On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data
• Global stability of large solutions to the 3D compressible Navier-Stokes equations
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
• Space-time regularity of the Koch \& Tataru solutions to Navier-Stokes equations
• Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
• Large time behavior of isentropic compressible Navier-Stokes system in ℝ ³
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global existence of small solutions to a class of nonlinear evolution equations
• Large time behaviour of solutions to the navier-stokes equations
• Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
• Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Decay of Dissipative Equations and Negative Sobolev Spaces
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• CONVERGENCE RATE FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH EXTERNAL FORCE
• Le problème de Cauchy pour les équations différentielles d'un fluide général