Weak solutions of initial-boundary value problems for class of nonlinear viscoelastic equations

DOI10.1080/00036818708839699zbMath0609.35014OpenAlexW1967870829WikidataQ58253964 ScholiaQ58253964MaRDI QIDQ3749421

Darrell L. Hicks, Kenneth L. jun. Kuttler

Publication date: 1987

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818708839699

zbMATH Keywords

existenceuniquenessweak solutionsinitial-boundary value problemsnonlinear viscoelastic equationsisentropic gas law

Mathematics Subject Classification ID

Related Items (3)

Corrections to: The one-dimensional displacement in an isothermal viscous compressible fluid with a nonmonotone equation of state ⋮ Initial boundary value problems for the displacement in an isothermal, viscous gas ⋮ The one-dimensional displacement in an isothermal viscous compressible fluid with a nonmonotone equation of state

Cites Work

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• The hydrocode convergence problem. II
• On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• On the exponential stability of solutions of \(E(u_ x)u_{xx} + \lambda u_{xtx} = \rho u_{tt}\)
• Regularity of weak solutions of some nonlinear conservation laws
• Elliptic Partial Differential Equations of Second Order
• On some systems of quasilinear parabolic equations of the divergence type

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