Weak Solutions of Partial Differential Equations

Häftad, Engelska, 2025

Del 90 i serien Mathématiques et Applications

512 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2025-08-29
Mått:155 x 235 x 25 mm
Vikt:808 g
Format:Häftad
Språk:Engelska
Serie:Mathématiques et Applications
Antal sidor:465
Förlag:Springer International Publishing AG
ISBN:9783031989810

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.