In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a...In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L1 and L∞ decay rates for nonlinear systems. Finally, combining with L2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.展开更多
文摘In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L1 and L∞ decay rates for nonlinear systems. Finally, combining with L2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.
