Wave propagation in media with singular memory

Authors:
A. Hanyga
Affiliations:
Institute of Solid Earth Physics University of Bergen Allégaten 41, N5007 Bergen, Norway
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 4
Cited 2

Discretized fractional calculus

SIAM Journal on Mathematical Analysis
A model equation for viscoelasticity with a strongly singular kernel

SIAM Journal on Mathematical Analysis
Smoothing properties of linear Volterra integrodifferential equations

SIAM Journal on Mathematical Analysis
Mathematical problems in linear viscoelasticity

Mathematical problems in linear viscoelasticity

Wave field simulation for heterogeneous porous media with singular memory drag force

Journal of Computational Physics
High performance parallel numerical methods for Volterra equations with weakly singular kernels

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.99

Visualization

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.