Partial differential equations and applications : a bridge for students and researchers in applied sciences /

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat...

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Bibliographic Details
Main Author: Yin, Hong-Ming, 1962- (Author)
Format: Electronic eBook
Language:English
Published: Amsterdam : Academic Press, 2023.
Subjects:
Online Access:ScienceDirect
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082 0 4 |a 515.353  |2 23  |1 https://id.oclc.org/worldcat/ddc/E47GRGKfdpVwfVCktYr6WThQ6p 
100 1 |a Yin, Hong-Ming,  |d 1962-  |e author. 
245 1 0 |a Partial differential equations and applications :  |b a bridge for students and researchers in applied sciences /  |c Hong-Ming Yin. 
264 1 |a Amsterdam :  |b Academic Press,  |c 2023. 
300 |a 1 online resource (352 pages) 
336 |a text  |2 rdacontent 
337 |a computer  |2 rdamedia 
338 |a online resource  |2 rdacarrier 
500 |a <p>Preface CHAPTER 1 Basics of partial differential equations CHAPTER 2 Function spaces and the Fredholm Alternative CHAPTER 3 Eigenvalue problems and eigenfunction expansions CHAPTER 4 The heat equation CHAPTER 5 The wave equation CHAPTER 6 The Laplace equation CHAPTER 7 The Fourier transform and applications CHAPTER 8 The fundamental solution and Green's representation CHAPTER 9 Systems of first-order partial differential equations APPENDIX A Some essential results in ordinary differential equations APPENDIX B Sobolev spaces </p> 
588 |a Description based on CIP data; resource not viewed. 
520 |a Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences offers a unique approach to this key subject by connecting mathematical principles to the latest research advances in select topics. Beginning with very elementary PDEs, such as classical heat equations, wave equations and Laplace equations, the book focuses on concrete examples. It gives students basic skills and techniques to find explicit solutions for partial differential equations. As it progresses, the book covers more advanced topics such as the maximum principle and applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these topics, students gain the necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas. 
650 0 |a Differential equations, Partial. 
650 6 |a Équations aux dérivées partielles.  |0 (CaQQLa)201-0012495 
650 7 |a Differential equations, Partial  |2 fast  |0 (OCoLC)fst00893484 
776 0 8 |i Print version:  |z 9780443187056 
856 4 0 |3 ScienceDirect  |u https://www.sciencedirect.com/science/book/9780443187056