The one-dimensional displacement in an isothermal viscous compressible fluid with a nonmonotone equation of state

DOI10.1216/rmjm/1181072960zbMath0731.76061OpenAlexW2085601541MaRDI QIDQ808937

Darrell L. Hicks, Kenneth L. jun. Kuttler

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072960

zbMATH Keywords

global weak solutionsisothermal viscous compressible fluidsmonotone equation of state

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

Velocity dependent boundary conditions for the displacement in a one dimensional viscoelastic material, Regularity of the displacement in a one-dimensional viscoelastic material

Cites Work

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• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• Weak solutions of initial-boundary value problems for class of nonlinear viscoelastic equations
• Initial boundary value problems for the displacement in an isothermal, viscous gas
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)