Construction of entropy solutions for one-dimensional elastodynamics via time discretisation
DOI10.1016/S0294-1449(00)00051-2zbMath0988.74031MaRDI QIDQ1594901
David M. A. Stuart, Sophia Demoulini, Athanassios E. Tzavaras
Publication date: 1 May 2001
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2000__17_6_711_0
weak convergenceweak solutionentropy inequalitiesvariational approximation schemetime discretisationone-dimensional elastodynamicslongitudinal motionspositive spatial derivative
Thermodynamics in solid mechanics (74A15) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods applied to problems in solid mechanics (74S20)
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Cites Work
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- Convergence of approximate solutions to conservation laws
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- Decay of entropy solutions of nonlinear conservation laws
- Materials with internal variables and relaxation to conservation laws
- Young measure solutions for nonlinear evolutionary systems of mixed type
- Lectures on nonlinear hyperbolic differential equations
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- Weak solutions for a class of nonlinear systems of viscoelasticity
- Estimates for Conservation Laws with Little Viscosity
- Weak Convergence of Integrands and the Young Measure Representation
- Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics
- A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy
