Stochastic Porous Media Equations: A Comprehensive Guide

In the realm of applied mathematics, the study of fluid flow through porous media has captured the attention of researchers for decades. These materials, characterized by their intricate pore structures, exhibit complex behavior that poses both theoretical and practical challenges. Stochastic porous media equations provide a powerful framework for understanding and predicting the flow dynamics in these systems, offering insights into a wide range of applications, from petroleum engineering to hydrology.

Stochastic Porous Media Equations (Lecture Notes in Mathematics Book 2163)

by Marie-Louise Mumbu

5 out of 5

Language	:	English
File size	:	3232 KB
Screen Reader	:	Supported
Print length	:	211 pages

FREE

Enter the World of Stochastic Porous Media Equations

Stochastic Porous Media Equations, a comprehensive guide published as part of the prestigious Lecture Notes in Mathematics series, offers a comprehensive and accessible to this fascinating subject. Authored by renowned experts Claude Le Bris, Francesca Legoll, and Alain Bourgeat, this volume provides a rigorous mathematical foundation while emphasizing practical applications and computational aspects.

Key Features and Benefits

• In-depth coverage: Explores the fundamental concepts, mathematical tools, and numerical methods essential for understanding stochastic porous media equations.
• Expert authorship: Written by leading researchers in the field, ensuring the highest level of accuracy and up-to-date knowledge.
• Real-world applications: Demonstrates the practical relevance of stochastic porous media equations in areas such as petroleum engineering, hydrology, and environmental science.
• Exercises and solutions: Includes exercises and solutions to enhance understanding and reinforce key concepts.
• Well-organized structure: Clearly structured into chapters and sections, providing a logical flow of information.

A Journey through the Chapters

Stochastic Porous Media Equations is meticulously organized into nine chapters, each addressing a specific aspect of the subject. Here's a brief overview of the chapters:

1. : Sets the stage, introducing the main concepts and applications of stochastic porous media equations.
2. Porous Media: Delves into the structure and properties of porous media, laying the foundation for understanding fluid flow.
3. Fluid Flow Equations: Presents the governing equations for fluid flow in porous media, including Darcy's law and its extensions.
4. Stochastic Models: Introduces stochastic models for porous media, focusing on random porous media and random coefficients.
5. Homogenization: Explores the homogenization process, which simplifies the analysis of equations for random porous media.
6. Numerical Methods: Discusses numerical methods for solving stochastic porous media equations, including finite element methods and Monte Carlo simulation.
7. Applications: Showcases the practical applications of stochastic porous media equations in petroleum engineering and hydrology.
8. Advanced Topics: Delves into advanced topics, such as multiphase flow and non-Newtonian fluids.
9. : Summarizes the key concepts and highlights future research directions.

Essential Reading for Researchers and Practitioners

Stochastic Porous Media Equations is an indispensable resource for researchers, graduate students, and practitioners working in the fields of applied mathematics, probability theory, and fluid mechanics. Its comprehensive coverage, expert authorship, and practical focus make it an invaluable tool for anyone seeking to delve into the complexities of this fascinating subject.

About the Authors

Claude Le Bris is a renowned mathematician known for his contributions to the analysis of partial differential equations and numerical methods.

Francesca Legoll is an expert in stochastic partial differential equations and their applications in porous media and fluid mechanics.

Alain Bourgeat is a leading authority on homogenization and stochastic porous media equations.

Free Download Your Copy Today

Embark on your journey into the captivating world of stochastic porous media equations with Stochastic Porous Media Equations. Free Download your copy today and unlock a wealth of knowledge and insights that will empower you in your research and professional endeavors.

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Stochastic Porous Media Equations (Lecture Notes in Mathematics Book 2163)

by Marie-Louise Mumbu

5 out of 5

Language	:	English
File size	:	3232 KB
Screen Reader	:	Supported
Print length	:	211 pages

FREE