On a local in time solvability of the Neumann problem of quasilinear hyperbolic parabolic coupled systems
Wakako Dan · Mathematical Methods in the Applied Sciences · 1995
Abstract We prove a local in time existence theorem of classical solutions to some coupled system of quasilinear hyperbolic equations and quasilinear parabolic equations with Neumann boundary condition. This coupled system contains a non‐linear thermoelastic equation as an important physical example.