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 connects mathematical principles to the latest research advances in select topics, giving students basic skills and techniques to find explicit solutions for partial differential equations and covering more advanced topics such as the maximum principle and applications, Greens representation, Schauders theory, finite-time blowup, and shock waves.

Format: Paperback / softback
Length: 330 pages
Publication date: 12 July 2023
Publisher: Elsevier Science Publishing Co Inc

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences presents a distinctive approach to this crucial subject by bridging mathematical principles with the latest research advancements in select topics. The book begins with foundational Partial Differential Equations (PDEs), such as classical heat equations, wave equations, and Laplace equations, and focuses on practical examples. It equips students with essential skills and techniques to derive explicit solutions for PDEs. As the book progresses, it delves into more advanced topics, including the maximum principle and its applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these subjects, students acquire the necessary tools to address research topics in their respective fields, whether they pursue mathematics or engineering.

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. The book begins with very elementary PDEs, such as classical heat equations, wave equations, and Laplace equations, and 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.

Partial Differential Equations and Applications: A Bridge for Students and Researchers in Applied Sciences presents a distinctive approach to this crucial subject by bridging mathematical principles with the latest research advancements in select topics. The book begins with foundational Partial Differential Equations (PDEs), such as classical heat equations, wave equations, and Laplace equations, and focuses on practical examples. It equips students with essential skills and techniques to derive explicit solutions for PDEs. As the book progresses, it delves into more advanced topics, including the maximum principle and its applications, Green's representation, Schauder's theory, finite-time blowup, and shock waves. By exploring these subjects, students acquire the necessary tools to address research topics in their respective fields, whether they pursue mathematics or engineering.

Weight: 450g
Dimension: 235 x 191 (mm)
ISBN-13: 9780443187056