Mathematics, Vol. 11, Pages 4785: Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

Mathematics, Vol. 11, Pages 4785: Well-Posedness and Stability Results for Lord Shulman Swelling Porous Thermo-Elastic Soils with Microtemperature and Distributed Delay

Mathematics doi: 10.3390/math11234785

Authors: Abdelbaki Choucha Salah Boulaaras Rashid Jan Mohammed AbaOud Rowaida Alrajhi

The Lord Shulman swelling porous thermo-elastic soil system with the effects of microtemperature, temperatures and distributed delay terms is considered in this study. The well-posedness result is established by the Lumer–Phillips corollary applied to the Hille–Yosida theorem. The exponential stability result is proven by the energy method under suitable assumptions.