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A stochastic model in continuum mechanics: Time evolution of the probability density in the random initial boundary-value problem

โœ Scribed by I. Bonzani; R. Monaco; M.G. Zavattaro

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
634 KB
Volume
10
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

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 described by deterministic evolution partial differential equations with random initial boundary conditions in one space dimension and provides a mathematical method to compute the time evolution of the probability density in conjunction with the dependent variable.

๐Ÿ“œ SIMILAR VOLUMES

The time evolution of random fields in s
The time evolution of random fields in stochastic continuum mechanics
โœ Ida Bonzani ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 664 KB

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.