This volume presents a detailed study of the anisotropic series representations of the free product group [bold]Z/2[bold]Z*···*[bold]Z/2[bold]Z. These representations are infinite dimensional, irreducible, unitary, and can be divided into principal and complimentary series. Anis…
We study the perturbation of a shock wave in conservation laws with physical viscosity. We obtain the detailed pointwise estimates of the solutions. In particular, we show that the solution converges to a translated shock profile. The strength of the perturbation and that of the…
Introduction -- Preliminaries -- Green's functions for systems with constant coefficients -- Green's function for systems linearized along shock profiles -- Estimates on green's function -- Estimates on crossing of initial layer -- Estimates on truncation error -- Energy type es…
We study the perturbation of a shock wave in conservation laws with physical viscosity. We obtain the detailed pointwise estimates of the solutions. In particular, we show that the solution converges to a translated shock profile. The strength of the perturbation and that of the…
This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are…