Global existence and asymptotic behavior for the 3D compressible Navier-Stokes equations without heat conductivity in a bounded domain

DOI10.1016/j.jde.2016.09.046zbMath1349.76913OpenAlexW2531336333MaRDI QIDQ340343

Guochun Wu

Publication date: 14 November 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.046

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorglobal existencebounded domain

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

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Cites Work

• Unnamed Item
• Global weak solutions to the two-dimensional Navier-Stokes equations of compressible heat-conducting flows with symmetric data and forces
• Global existence and optimal decay rate for the strong solutions in \(H^2\) to the 3-D compressible Navier-Stokes equations without heat conductivity
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• 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
• Compressible Navier-Stokes equations with zero heat conductivity
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• Nonlinear thermal instability in compressible viscous flows without heat conductivity
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
• Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• On blowup of classical solutions to the compressible Navier-Stokes equations
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• Decay of Dissipative Equations and Negative Sobolev Spaces
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• LOCAL SOLVABILITY OF AN INITIAL BOUNDARY VALUE PROBLEM FOR A QUASILINEAR HYPERBOLIC-PARABOLIC SYSTEM
• A blow-up criterion for compressible viscous heat-conductive flows
• On the existence of globally defined weak solutions to the Navier-Stokes equations