CONVERGENCE OF QUASI-LINEAR HYPERBOLIC EQUATIONS
Nils Svanstedt · Journal of Hyperbolic Differential Equations · 2007
Multiscale stochastic homogenization is studied for quasilinear monotone hyperbolic problems with a linear damping term. It is shown by classical G-convergence methods that the sequence of solutions to a class of multi-scale highly oscillatory (possibly random) hyperbolic problems converges in the appropriate Sobolev space to the solution to a homogenized quasilinear hyperbolic problem.