scientific article

zbMath0534.73011MaRDI QIDQ3318196

Jong Uhn Kim

Publication date: 1983

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1983_4_10_3_357_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Cauchy problemadding dissipation termsequations reduce to the hyperbolic conservation lawsexistence of global solutions in BVone-dimensional nonlinear thermoviscoelasticity with initial conditions given for the displacemet, the velocity, and the temperaturewithout dissipation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Dynamical problems in solid mechanics (74Hxx)

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Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. I. ⋮ Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions ⋮ Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data ⋮ The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data ⋮ On stability of shock waves in a compressible viscous heat conducting gas ⋮ Discontinuous solutions of the Navier-Stokes equations for compressible flow

Cites Work

• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
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