## This paper deals with the analysis of stochastic mathematical models in continuum mechanics. The first part of the paper provides a discussion on a general methodology for stochastic modelling of real systems in continuum physics and mechanics. The second part of the paper deals with models des
β¦ LIBER β¦
The time evolution of random fields in stochastic continuum mechanics
β Scribed by Ida Bonzani
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 664 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper deals with the analysis of the time evolution of the random field related to the dependent variable in the initial-boundary value problem, in mathematical physics, for nonlinear partial differential equations with random initial and boundary conditions.
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Abstrae. The covariant Weyl (spin s = 1/2) and Maxwell (s = 1) equations in certain local charts (U, 9 ) of a space-time ( M , g ) are considered. It is shown that the condition goo(z) > 0 for all z E U is necessary and sufficient to rewrite them in a unified manner as evolution equations at4 = L(,)