Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences - Softcover

Yin, Hong-Ming

Softcover

ISBN 10: 0443187053 ISBN 13: 9780443187056

Verlag: Academic Press Inc, 2023

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Dr. Hong-Ming Yin is currently a Professor in the Department of Mathematics, Washington State University. He has held positions at the University of Toronto and the University of Notre Dame, as well as visiting positions at the University of California at Berkeley and the Chinese University of Hong Kong. His research is focused on mathematical models and analysis by using partial differential equations. He has published more than 100 peer-reviewed research papers in various mathematics journals, including top-rated journals such as Transactions of the American Mathematical Society and Comm. In PDEs, he has taught related courses to advanced undergraduate students and graduate students for over 30 years.

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Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Fields, 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 theory, finite time blowup and sock waves. By exploring these topics, students gain necessary tools to deal with research topics in their own fields, whether proceeding in math or engineering areas.

Details zur Ausgabe

• Verlag: Academic Press Inc
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 0443187053
• ISBN 13: 9780443187056
• Einband: Tapa blanda
• Anzahl der Seiten: 330
• Kontakt zum Hersteller: Nicht verfügbar