Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping
Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping
We investigate the 3D quasilinear hyperbolic equations with nonlinear damping which describes the propagation of heat wave for rigid solids at very low temperature, below about 20 K. The global existence and uniqueness of strong solutions are obtained when the initial data is near its equilibrium in the sense of …