Partial differential equations in action [Documento eletrónico] : from modelling to theory / by Sandro Salsa, Gianmaria Verzini
Language: eng.Country: Switzerland, Swiss Confederation.Edition Statement: 4th ed. Publication: Cham : Springer International Publishing, Springer, 2022Description: XVIII, 677 p. : il.ISBN: 978-3-031-21853-8.Series: La Matematica per il 3+2, 147Subject - Topical Name: Differential equations | Engineering mathematics | Engineering -- Data processing | Functional analysis | Mathematical physics Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA370.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96083 |
This work is an updated version of a book evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.
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