Global resolvability for a viscoelastic model with relaxation

DOI10.1017/S030821050003050XzbMath0843.73033MaRDI QIDQ4871913

Changjiang Zhu

Publication date: 8 April 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceCauchy problemglobal smooth solution

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10)

Related Items

Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region, Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms, Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts, Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time, Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions, Well-posedness of the global entropy solution to the Cauchy problem of a hyperbolic conservation laws with relaxation, Existence of global smooth solution to the relativistic Euler equations, Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas, Cauchy problem for quasilinear hyperbolic systems with higher order dissipative terms, Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping, Existence of the entropy solution for a viscoelastic model, Existence and uniqueness of the global admissible solution for a viscoelastic model with relaxation

Cites Work

• Unnamed Item
• The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\)
• Hyperbolic conservation laws with relaxation
• Stability of shock waves for the Broadwell equations
• Globally smooth solutions of quasilinear hyperbolic systems in diagonal form
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Formation of singularities in one-dimensional nonlinear wave propagation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Global continuous solutions of hyperbolic systems of quasi-linear equations
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables