Weak Solutions of Partial Differential Equations

Name: Weak Solutions of Partial Differential Equations
Brand: Springer
SKU: 9783031989810
Price: 3795.0 INR
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by Thierry Gallouët , Raphaèle Herbin

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ISBN13: 9783031989810
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 1, 2025
Pages: 476
Original Price: EUR 51.65
Language: English
Edition: N/A
Item Weight: 806 grams
BISAC Subject(s): Differential Equations / General

About The Book

This book offers a comprehensive introduction to the study of solutions of linear and nonlinear partial differential equations, covering elliptic, parabolic and hyperbolic types. It places particular emphasis on the concept of weak solution, a fundamental framework for addressing well-posed problems in PDE theory. The book examines the existence and uniqueness of solutions for various types of PDEs, along with their key properties. Additionally, many of the methods introduced are also applicable for analyzing the convergence of numerical schemes used to approximate these equations. Based on courses taught by the authors, this book is primarily aimed at graduate students and contains numerous exercises and problems with detailed solutions.

About The Author

Thierry Gallouët was a professor of mathematics at the University of Chambéry (1985-1993), the École Normale Supérieure de Lyon (1993-1997), and the University of Aix-Marseille (1997-2023). A specialist in functional analysis and partial differential equations, particularly in the L1 theory of elliptic and parabolic equations, he later became interested in the numerical resolution of partial differential equations with applications in petroleum and hydraulic engineering. Along with Robert Eymard, he pioneered a general theory of the finite volume method.

Raphaèle Herbin is a professor of mathematics at the University of Aix-Marseille. She specializes in numerical analysis, particularly in the discretization of partial differential equations. She has contributed to the mathematical analysis of finite volume schemes and their application to various fields, such as electrochemistry and fluid mechanics.

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