On the solutions of stochastic initial-value problems in continuum mechanics |
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Authors: | G. Adomian D. Bigi R. Riganti |
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Affiliation: | Center for Applied Mathematics, Tucker Hall, The University of Georgia, Athens, Georgia 30602 USA;Department of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Turin, Italy |
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Abstract: | This work deals with the analysis of a class of initial-value problems for nonlinear hyperbolic equations with stochastic process coefficients and four time-space independent variables. A perturbation procedure is developed, leading to a sequence of stochastic, partial differential equations which are solved by application of the Adomian decomposition method. A pertinent application in mechanics is also considered, and quantitative results are presented and discussed. |
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