A Weak Solution of a Stochastic Nonlinear Problem
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider a problem modeling a porous medium with a random perturbation.
This model occurs in many applications such as biology, medical sciences, oil exploitation, and chemical engineering.
Many authors focused their study mostly on the deterministic case.
The more classical one was due to Biot in the 50s, where he suggested to ignore everything that happens at the microscopic level, to apply the principles of the continuum mechanics at the macroscopic level.
Here we consider a stochastic problem, that is, a problem with a random perturbation.
First we prove a result on the existence and uniqueness of the solution, by making use of the weak formulation.
Furthermore, we use a numerical scheme based on finite differences to present numerical results.
American Psychological Association (APA)
Hadji, M. L.. 2015. A Weak Solution of a Stochastic Nonlinear Problem. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052057
Modern Language Association (MLA)
Hadji, M. L.. A Weak Solution of a Stochastic Nonlinear Problem. Abstract and Applied Analysis No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1052057
American Medical Association (AMA)
Hadji, M. L.. A Weak Solution of a Stochastic Nonlinear Problem. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1052057
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052057