General stability result of swelling porous elastic soils with a viscoelastic damping

DOI10.1007/S00033-020-01427-0zbMath1455.74039OpenAlexW3108297362MaRDI QIDQ2219309

Tijani A. Apalara

Publication date: 19 January 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01427-0

zbMATH Keywords

asymptotic behaviourexponential decay ratememory termpolynomial decay ratedissipation mechanism

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (15)

General energy decay result for a viscoelastic swelling porous-elastic system ⋮ Well-posedness, theoretical and numerical stability results of a memory-type porous thermoelastic system ⋮ Theoretical and numerical stability results for a viscoelastic swelling porous-elastic system with past history ⋮ Equivalence between exponential stabilization and boundary observability for swelling problem ⋮ A stability result for a swelling porous system with nonlinear boundary dampings ⋮ A new stability result for swelling porous elastic media with structural damping ⋮ Экспоненциальная устойчивость для набухающей пористой теплосистемы с термодиффузионными эффектами и запаздыванием ⋮ Theoretical decay results of a swelling soils system with frictional damping versus viscoelastic damping ⋮ Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics ⋮ Porous elastic soils with fluid saturation and boundary dissipation of fractional derivative type ⋮ Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory ⋮ Exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term ⋮ Exponential stabilization of a swelling porous-elastic system with microtemperature effect and distributed delay ⋮ On the control of viscoelastic damped swelling porous elastic soils with internal delay feedbacks ⋮ On well-posedness and exponential decay of swelling porous thermoelastic media with second sound

Cites Work

• Unnamed Item
• General decay for a porous-thermoelastic system with memory: the case of nonequal speeds
• Thermomechanical theories for swelling porous media with microstructure
• On the decay of solutions for porous-elastic systems with history
• On the linear problem of swelling porous elastic soils with incompressible fluid
• Anti-plane shear deformations of swelling porous elastic soils
• General decay for a porous thermoelastic system with memory: the case of equal speeds
• Theories of immiscible and structured mixtures
• A continuum theory of swelling porous elastic soils
• Energy decay for Timoshenko systems of memory type.
• Exponential stability of solutions of swelling porous elastic soils
• Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation
• Optimal decay for a porous elasticity system with memory
• General stability of memory-type thermoelastic Timoshenko beam acting on shear force
• Existence and exponential decay in the linear theory of viscoelastic mixtures
• General decay of solutions in one-dimensional porous-elastic system with memory
• Exponential decay for a viscoelastically damped Timoshenko beam
• On the stabilization of Timoshenko systems with memory and different speeds of wave propagation
• On the stability of swelling porous elastic soils with fluid saturation by one internal damping

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