Partial Differential Equations and Applications by Hong-Ming Yin - 9780443187056

Partial Differential Equations and ApplicationsA Bridge for Students and Researchers in Applied Sciences\nAuthor(s): Hong-Ming Yin\nFormat: Paperback\nPublisher: Elsevier Science Publishing Co Inc, United States\nImprint: Academic Press Inc\nISBN-13: 9780443187056, 978-0443187056\nSynopsis\nPartial 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.\n\nAs it progresses, the book covers more advanced topics such as the maximum principle and applications, Greens representation, Schauders theory, finite-time blowup, and shock waves. By exploring these topics.