Abstract
This paper is concerned with the backward in time problem in the theory of anti-plane shear deformations of swelling porous elastic soils in the case of fluid saturation and/or gas saturation. The formulation belongs to the theory of mixtures of porous elastic solids filled with fluid and/or gas. These problems propose some new mathematical difficulties. We prove the uniqueness of solutions of the backward in time problem of anti-plane shear deformations. We also study the spatial behaviour of solutions of this problem.
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