GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY IN NONLINEAR HEAT-CONDUCTION

[摘要] The paper investigates global existence and asymptotic behaviour of classical solutions to an initial-boundary value problem for a system of equations which govern one-dimensional nonlinear heat conduction in solids. Asymptotic stability of equilibrium (steady) solutions is further investigated through a new approach which is based on the wave propagation properties of the model. Finally, some comments are given on a more general, quasi-linear, hyperbolic model for heat conduction in dielectric solids which, besides being compatible with thermodynamics, fits experimental data on second sound speed, heat conductivity, and specific heat. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-01