Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li
type: Item
instance of: scholarly article
zbMATH Open document ID: 1266.35001
author: Tiehu Qin
author: Tatsien Li
publication date: 2012-07-12T00:00:00Z
Mathematics Subject Classification ID: 35-01
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 00A71
Mathematics Subject Classification ID: 00A06
Mathematics Subject Classification ID: 00A79
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 6054928
zbMATH Keywords: PDEs in physics and mechanics
zbMATH Keywords: electrodynamics
zbMATH Keywords: fluid dynamics
zbMATH Keywords: magnetohydrodynamics
zbMATH Keywords: reacting fluid dynamics
zbMATH Keywords: elastic mechanics
MaRDI profile type: Publication
title: Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li
review text: The book under review is concerned with the process of establishing the important fundamental partial differential equations in modern physics and a description of the mathematical structures and features of the equations. It aims at building a bridge between physics and partial differential equations, such that readers who are unfamiliar with the related physical and engineering mechanical disciplines can easily gain access to the core of the disciplines, and understand the related physical background of the partial differential equations in a short time; while readers, who are familiar with the related physical and engineering mechanical disciplines, can see the advantages of effective mathematical tools and use consequently modern mathematical concepts, methods and tools more consciously to solve related physical and engineering problems.NEWLINENEWLINEThis book is divided into two volumes, and each volume consists of five chapters. In the first five chapters (Volume I) the equations in electrodynamics, fluid dynamics, magnetohydrodynamics, reacting fluid dynamics, and elastic mechanics are considered, respectively. In each chapter, the corresponding partial differential equations are analyzed from four angles. First, the related physical and mechanical background is elaborated in a simple but profound way. Second, the whole process of establishing the equations is presented in details. Third, the mathematical structures and features are described clearly. Finally, some recent mathematical results of the related equations are introduced, including those of the authors and their research groups. Through the book, one will discover not only the connection between the physical and mechanical disciplines and their related mathematical models, but also commonly used mathematical models and their mathematical structures and features more easily.NEWLINENEWLINEThe book is very well organized and well written. It has achieved its aim mentioned above and will benefit both m…
reviewed by: Song Jiang
description: scientific article; zbMATH DE number 6054928