The Vanishing Viscosity Method in One-Dimensional Thermoelasticity

DOI10.2307/2154900zbMath0810.35055OpenAlexW4246734983WikidataQ57386582 ScholiaQ57386582MaRDI QIDQ4318460

Constantine M. Dafermos, Gui-Qiang G. Chen

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2154900

zbMATH Keywords

vanishing viscosity methodcompensated compactnesszero viscosity limitone-dimensional thermoelastic media

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35)

Related Items

The invariant region for the special gas dynamics system, Global-in-Time Regular Unique Solutions with Positive Temperature to One-Dimensional Thermoelasticity, Global weak solutions in nonlinear 3D thermoelasticity, Periodic and almost periodic solutions of conservation laws: Global existence and decay, The invariant domain of Riemann solution for 1D non-isentropic gas dynamics equations, Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data, Global entropy solutions to weakly nonlinear gas dynamics, Microscopic theory of isothermal elastodynamics, A model in one-dimensional thermoelasticity, Large-time behavior of entropy solutions of conservation laws

Cites Work

• 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)
• The method of quasidecoupling for discontinuous solutions to conservation laws
• Estimates for Conservation Laws with Little Viscosity
• Solutions in the large for nonlinear hyperbolic systems of equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item