Continuous dependence and uniqueness theorems in boundary‐initial value problems for a class of porous bodies occupying bounded or unbounded domains

DOI10.1112/S0025579300012420zbMath0564.76096MaRDI QIDQ3678900

Alessandra Borrelli, Maria Christina Patria

Publication date: 1984

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

boundary-initial value problemuniqueness theoremscontinuous dependence theorembody-forceslinear isotropic elastic porous body saturated with an inviscid fluidspatial asymptotic behaviour of the field variables

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05)

Cites Work

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• Propagation of discontinuity waves of any order through an elastic solid saturated with an inviscid fluid
• The flow of fluid through an elastic solid
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains
• Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities
• ON BASIC EQUATIONS FOR MIXTURES

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