On the control of viscoelastic damped swelling porous elastic soils with internal delay feedbacks

DOI10.1016/j.jmaa.2021.125429zbMath1487.74088OpenAlexW3168190541MaRDI QIDQ2050891

Moruf O. Yusuf, Tijani A. Apalara, Babatunde A. Salami

Publication date: 1 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125429

zbMATH Keywords

asymptotic solutionmultiplier methodmemory termTimoshenko systemgeneral decay lawswelling porous viscoelastic solid

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) 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 (9)

General energy decay result for a viscoelastic swelling porous-elastic system ⋮ 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 ⋮ Theoretical decay results of a swelling soils system with frictional damping versus viscoelastic damping ⋮ General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delay ⋮ Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics ⋮ Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory ⋮ On well-posedness and exponential decay of swelling porous thermoelastic media with second sound

Cites Work

• Unnamed Item
• Feedback stabilization of a class of evolution equations with delay
• Thermomechanical theories for swelling porous media with microstructure
• On the linear problem of swelling porous elastic soils with incompressible fluid
• Anti-plane shear deformations of swelling porous elastic soils
• A stability result of a Timoshenko system with a delay term in the internal feedback
• Theories of immiscible and structured mixtures
• A continuum theory of swelling porous elastic soils
• Time-delay systems: an overview of some recent advances and open problems.
• Exponential stability of solutions of swelling porous elastic soils
• Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation
• Existence and exponential decay in the linear theory of viscoelastic mixtures
• Exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term
• General stability result of swelling porous elastic soils with a viscoelastic damping
• Asymptotic behavior of weakly dissipative Timoshenko system with internal constant delay feedbacks
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Use of time-delay actions in the controller design
• Stability results for elastic porous media swelling with nonlinear damping
• On the stability of swelling porous elastic soils with fluid saturation by one internal damping

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