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Article . 2023 . Peer-reviewed
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Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

نتيجة الاستقرار لتورم اللورد شولمان في التربة الحرارية المرنة المسامية مع فترة تأخير موزعة
Authors: Abdelbaki Choucha; Salah Boulaaras; Rashid Jan;

Stability result for Lord Shulman swelling porous thermo-elastic soils with distributed delay term

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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