Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping
Abdelaziz Soufyane, Adel M. Al‐Mahdi, Mohammad M. Al‐Gharabli, Imad Kissami, Mostafa Zahri
Abstract
<abstract><p>In this paper, a swelling soil system with two nonlinear dampings of variable exponent-type is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.</p></abstract>
Topics & Concepts
Nonlinear systemExponentPorous mediumStability (learning theory)SwellingMaterials scienceVariable (mathematics)PorosityMathematical analysisMechanicsMathematicsPhysicsComposite materialComputer scienceLinguisticsPhilosophyMachine learningQuantum mechanicsThermoelastic and Magnetoelastic PhenomenaElasticity and Wave PropagationAdvanced Mathematical Modeling in Engineering