Boundary layers and glancing blow-up in nonlinear geometric optics
Boundary layers and glancing blow-up in nonlinear geometric optics
We construct rigorous geometric optics expansions of high order for semilinear hyperbolic boundary problems with oscillatory data. The errors approach zero in L∞ as the wavelength ε→0. To achieve such errors it is necessary to incorporate profiles of the glancing, elliptic, and hyperbolic boundary layers into the expansions. The analysis …