Existence of global weak solutions for a viscoelastic model with relaxation

DOI10.1080/00036819708840614zbMath0895.35062OpenAlexW2151471376WikidataQ58269069 ScholiaQ58269069MaRDI QIDQ4385743

Tong Yang, Changjiang Zhu, Zheng-An Yao

Publication date: 25 May 1998

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

Full work available at URL: https://doi.org/10.1080/00036819708840614

zbMATH Keywords

viscosity solutionsmethod of compensated compactness

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Estimates for the linear viscoelastic damped wave equation on the Heisenberg group ⋮ Well-posedness of the global entropy solution to the Cauchy problem of a hyperbolic conservation laws with relaxation

Cites Work

• The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\)
• Convergence of approximate solutions to conservation laws
• Hyperbolic conservation laws with relaxation
• Convexity conditions and existence theorems in nonlinear elasticity
• Convergence of solution to nonlinear dispersive equations
• Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• Existence and uniqueness of the global admissible solution for a viscoelastic model with relaxation

This page was built for publication: Existence of global weak solutions for a viscoelastic model with relaxation