Wave propagation in media with singular memory

Abstract

Constitutive equations based on physical models of viscous and porous media often involve singular memory effects. Solutions of the corresponding dynamic problems are infinitely smooth. Two complementary methods of study of singular memory in hyperbolic equations are presented and applied to a poroacoustic model of sound propagation in a rigid air-saturated porous medium. Numerical methods are briefly discussed. © 2001 Elsevier Science Ltd. All rights reserved.