On the linear problem of swelling porous elastic soils

DOI10.1016/S0022-247X(02)00003-3zbMath1200.76189MaRDI QIDQ1604589

Ramón Quintanilla

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

InstabilityUniquenessMixturesContinuous dependenceSpatial estimates

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30)

Related Items (15)

Stabilization and numerical treatment for swelling porous elastic soils with fluid saturation ⋮ Exponential stability in porous media problem saturated by multiple immiscible fluids. ⋮ Stability results for elastic porous media swelling with nonlinear damping ⋮ On the linear problem of swelling porous elastic soils with incompressible fluid ⋮ On the uniqueness and continuous data dependence of solutions in the theory of swelling porous thermoelastic soils ⋮ On the uniqueness and spatial behaviour of anti-plane shear deformations of swelling porous elastic soils backward in time ⋮ Anti-plane shear deformations of swelling porous elastic soils ⋮ On the spatial decay of solutions in the theory of swelling porous thermoelastic soils ⋮ Waves and vibrations in the theory of swelling porous elastic soils ⋮ Potential method in the linear theory of swelling porous elastic soils ⋮ Existence and exponential decay in the linear theory of viscoelastic mixtures ⋮ Some uniqueness and stability results in the theory of micropolar solid-fluid mixture ⋮ Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights ⋮ Stabilization of swelling porous elastic soils with fluid saturation and delay time terms ⋮ Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation

Cites Work

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• Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation
• Some Properties of Solutions in Dynamical Theory of Mixtures
• Damping of end effects in a thermoelastic theory

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