On existence and stability in the theory of swelling porous elastic soils
Ramón Quintanilla · IMA Journal of Applied Mathematics · 2003
The aim of this paper is to introduce a new functional in the study of swelling porous elastic soils saturated by a fluid. This new functional is a useful tool; it allows us to prove the existence of solutions in the case of a compressible fluid. We also prove the stability of solutions and the exponential decay in the case of an incompressible fluid. We study as well the continuous dependence with respect to the initial time.