Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum
DOI10.1142/S0218202522500403zbMath1498.35392arXiv2103.16332OpenAlexW3143010801WikidataQ115523477 ScholiaQ115523477MaRDI QIDQ5045193
Hao Xu, Suhua Lai, Jian-Wen Zhang
Publication date: 4 November 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16332
vacuumwell-posednesscompressible Navier-Stokes equationsexponential decayless regular datasmall total energy
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
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- Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
- Blowup criterion for viscous baratropic flows with vacuum states
- Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
- A Beale-Kato-Majda criterion for three-dimensional compressible viscous heat-conductive flows
- On the uniqueness of compressible fluid motions
- Existence results for viscous polytropic fluids with vacuum
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- On the first initial-boundary value problem of compressible viscous fluid motion
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
- Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
- On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
- Serrin-type blowup criterion for full compressible Navier-Stokes system
- Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity
- Regularity and uniqueness for the compressible full Navier-Stokes equations
- On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- 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
- Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
- A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system
- Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
- Global well-posedness and exponential stability of 3D Navier-Stokes equations with density-dependent viscosity and vacuum in unbounded domains
- Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data
- 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
- L2Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Decay of Dissipative Equations and Negative Sobolev Spaces
- On the Global Motion of Viscous Compressible Barotropic Flows Subject to Large External Potential Forces and Vacuum
- 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
- A blow-up criterion for compressible viscous heat-conductive flows
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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