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Generalized Brownian motion and elasticity
Authors:Stéphane Roux
Affiliation:(1) LHMP (Unité associée au CNRS 857), 75005 Paris, France
Abstract:We introduce a family of stochastic processes which are a natural extension of Brownian motion to a tensor form. This allows us to solve a Dirichlet problem of linear elasticity obeying Lamé's equation, [1–Ngr(d– 1)]nabla2V(x)+ nabla[nabla·V(x)]=0.
Keywords:Brownian motion  mathematical methods of elasticity
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