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[null,"1.","Record Nr.",null,"UNISA996503551403316"]
[null,null,"Autore",null,"Salsa S."]
[null,null,"Titolo",null,"Partial Differential Equations in Action [[electronic resource] ] : From Modelling to Theory / / by Sandro Salsa, Gianmaria Verzini"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022"]
[null,null,"ISBN",null,"3-031-21853-1"]
[null,null,"Edizione",null,"[4th ed. 2022.]"]
[null,null,"Descrizione fisica",null,"1 online resource (692 pages)"]
[null,null,"Collana",null,"La Matematica per il 3+2, , 2038-5757 ; ; 147"]
[null,null,"Disciplina",null,"381"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Engineering - Data processing"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Mathematical physics"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Mathematical and Computational Engineering Applications"]
[{"$nulls":4},"Functional Analysis"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Equacions en derivades parcials"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"1 Introduction -- 2 Diffusion -- 3 The Laplace Equation -- 4 Scalar Conservation Laws and First Order Equations -- 5 Waves and Vibration -- 6 Elements of Functional Analysis -- 7 Distributions and Sobolev Spaces -- 8 Variational Formulation of Elliptic Problems -- 9 Weak Formulation of Evolution Problems -- 10 More Advanced Topics -- 11 Systems of Conservation Laws -- Appendix A: Measures and Integrals -- Appendix B: Identities and Formulas."]
[null,null,null,"Sommario/riassunto","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 "]
[{"$nulls":4},"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."]