Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas

DOI10.1016/S0362-546X(00)00121-8zbMath0995.76079MaRDI QIDQ5945240

Shigenori Yanagi

Publication date: 15 October 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

discretizationenergy estimatesNavier-Stokes equationserror estimatescompressible viscous isentropic gasexternal periodic forcesLeray-Schauder fixed-point theoremlimiting solutionone-dimensional periodic motion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Global existence of cylinder symmetric solutions for the nonlinear compressible Navier-Stokes equations ⋮ GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS ⋮ Global existence of spherically symmetric solutions for nonlinear compressible Navier–Stokes equations ⋮ Global behaviour for a viscous, heat-conductive, one-dimensional real gas with a non-autonomous external force and a heat source ⋮ Cauchy problem for non-autonomous Navier-Stokes equations in an unbounded domain ⋮ Global existence and asymptotic behavior for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source ⋮ Global existence for non‐autonomous Navier–Stokes equations with discontinuous initial data

Cites Work

• The stability of one dimensional stationary flows of compressible viscous fluids
• Long time behavior for one-dimensional motion of a general barotropic viscous fluid
• On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
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