Global smooth solution and large time behavior of the one-dimensional Navier-Stokes equations

DOI10.1006/jmaa.1999.6443zbMath0951.35109OpenAlexW3022259502MaRDI QIDQ1304613

Tao Pang

Publication date: 22 September 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6443

zbMATH Keywords

existence of a global smooth solutionNavier-Stokes equation for a viscous, heat-conducting one-dimensional real gas

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
• On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
• On initial boundary value problems for a viscous, heat-conducting, one- dimensional real gas
• On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
• Large-time behaviour of solutions for the outer pressure problem of a viscous heat-conductive one-dimensional real gas

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