Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas

Partial differential equations of parabolic type

John S. Maybee · Journal of the Franklin Institute · 1965 · 3.3K citations

Numerical Simulation, Parabolic Equation, Parabolic Type +2

MAXIMUM PRINCIPLES IN DIFFERENTIAL EQUATIONS

D. E. Edmunds · Journal of the London Mathematical Society · 1969 · 638 citations

Numerical Analysis, Prentice/hall International, Hans F. Weinberger +5

Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas

A. V. Kazhikhov, V. V. Shelukhin · Journal of Applied Mathematics and Mechanics · 1977 · 544 citations

Numerical Analysis, Engineering, Free Boundary Problem +9

Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity

Constantine M. Dafermos, Ling Hsiao · Nonlinear Analysis · 1982 · 187 citations

Nonlinear Elasticity, Engineering, Mechanics +8

Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity

Constantine M. Dafermos · SIAM Journal on Mathematical Analysis · 1982 · 173 citations

Engineering, Mechanical Engineering, Global Smooth Solutions +21