A uniqueness theorem in Biot's poroelasticity theory

Abstract

The uniqueness is investigated in a solution of the initial-mixed boundary value problems defined by the generally accepted poroelastic equations presented by Biot. The solution is shown to be unique under some boundary and initial conditions, without imposing the positive definiteness conditions of material elasticities. A theorem of uniqueness is devised on the basis of the logarithmic convexity argument.Mathematics Subject Classification (1991). 73C15, 35A05.

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