Generalized Brownian motion and elasticity |
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Authors: | Stéphane Roux |
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Affiliation: | (1) LHMP (Unité associée au CNRS 857), 75005 Paris, France |
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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–(d– 1)]2V(x)+ [·V(x)]=0. |
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Keywords: | Brownian motion mathematical methods of elasticity |
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