Helge Holden

(Author)

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (1996)Hardcover - 1996, 1 August 1996

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (1996)
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Part of Series
Probability and Its Applications
Print Length
231 pages
Language
English
Publisher
Birkhauser
Date Published
1 Aug 1996
ISBN-10
0817639284
ISBN-13
9780817639280

Description

This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera- tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or "noisy". We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre- sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th, se SPDEs explicitly, or at least provide algorithms or approximations for the solutions.

Product Details

Authors:
Helge HoldenBernt OksendalJan UboeTusheng Zhang
Book Edition:
1996
Book Format:
Hardcover
Country of Origin:
US
Date Published:
1 August 1996
Dimensions:
23.39 x 15.6 x 1.6 cm
ISBN-10:
0817639284
ISBN-13:
9780817639280
Language:
English
Location:
Boston, MA
Pages:
231
Publisher:
Weight:
526.17 gm

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