Wave propagation in media with singular memory. (English) Zbl 1011.74033
Summary: 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. Here we present two complementary methods of study of singular memory in hyperbolic equations, and apply these methods to a poroacoustic model of sound propagation in a rigid air-saturated porous medium. Numerical methods are briefly discussed.
MSC:
| 74J10 | Bulk waves in solid mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
Keywords:
poroelasticity; viscoelasticity; integro-differential equation; singular memory; hyperbolic equations; sound propagation; rigid air-saturated porous mediumReferences:
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