
Abstract The Lord Shulman swelling porous thermo-elastic soil system with the presence of a distributed delay term is studied in this work. We will establish the well-posedness of the system and the exponential stability of the system is derived.
Exponential stability, Term (time), Engineering, partial differential equations, general decay, Stability (learning theory), Second-order nonlinear hyperbolic equations, Lord-Shulman, lord-shulman, Physics, Porous medium, Geology, Computational Theory and Mathematics, Mechanics of Materials, Physical Sciences, Thermodynamics, Porosity, Thermoelastic Damping and Heat Conduction, Composite material, 35b40, distributed delay term, 74d05, Mathematical analysis, Quantum mechanics, Initial-boundary value problems for second-order hyperbolic systems, Machine learning, QA1-939, FOS: Mathematics, Linear constitutive equations for materials with memory, Multiscale Methods for Heterogeneous Systems, Work (physics), Swelling, Thermoelasticity, Asymptotic stability in control theory, swelling porous system, Asymptotic behavior of solutions to PDEs, Exponential function, FOS: Earth and related environmental sciences, 35l70, Computer science, Materials science, Geotechnical engineering, mathematical operators, Control and Systems Engineering, 93d20, Computer Science, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Mathematics
Exponential stability, Term (time), Engineering, partial differential equations, general decay, Stability (learning theory), Second-order nonlinear hyperbolic equations, Lord-Shulman, lord-shulman, Physics, Porous medium, Geology, Computational Theory and Mathematics, Mechanics of Materials, Physical Sciences, Thermodynamics, Porosity, Thermoelastic Damping and Heat Conduction, Composite material, 35b40, distributed delay term, 74d05, Mathematical analysis, Quantum mechanics, Initial-boundary value problems for second-order hyperbolic systems, Machine learning, QA1-939, FOS: Mathematics, Linear constitutive equations for materials with memory, Multiscale Methods for Heterogeneous Systems, Work (physics), Swelling, Thermoelasticity, Asymptotic stability in control theory, swelling porous system, Asymptotic behavior of solutions to PDEs, Exponential function, FOS: Earth and related environmental sciences, 35l70, Computer science, Materials science, Geotechnical engineering, mathematical operators, Control and Systems Engineering, 93d20, Computer Science, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Mathematics
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