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020 _a9783031218538
_q(electronic bk.)
020 _a3031218531
_q(electronic bk.)
020 _z9783031218521
020 _z3031218523
024 7 _a10.1007/978-3-031-21853-8
_2doi
035 _a(OCoLC)1356408677
_z(OCoLC)1354262119
_z(OCoLC)1355220837
_z(OCoLC)1355372690
040 _aGW5XE
_beng
_erda
_epn
_cGW5XE
_dFIE
_dEBLCP
_dYDX
050 4 _aQA374
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515/.353
_223/eng/20221228
100 1 _aSalsa, S.,
_0https://id.loc.gov/authorities/names/n85152219
_eauthor
245 1 0 _aPartial differential equations in action :
_bfrom modelling to theory /
_cSandro Salsa, Gianmaria Verzini
250 _aFourth edition
264 1 _aCham :
_bSpringer,
_c[2022]
264 4 _c©2022
300 _a1 online resource (xviii, 677 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
340 _gpolychrome
_2rdacc
_0http://rdaregistry.info/termList/RDAColourContent/1003
490 1 _aUnitext. La matematica per il 3+2,
_x2038-5757 ;
_vvolume 147
504 _aIncludes bibliographical references and index
505 0 _a1 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
506 _aAvailable to OhioLINK libraries
520 _aThis 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
650 0 _aDifferential equations, Partial.
_0https://id.loc.gov/authorities/subjects/sh85037912
655 4 _aElectronic books
700 1 _aVerzini, Gianmaria,
_eauthor
710 2 _aOhio Library and Information Network.
_0https://id.loc.gov/authorities/names/no95058981
776 0 8 _iPrint version:
_aSalsa, Sandro
_tPartial Differential Equations in Action
_dCham : Springer International Publishing AG,c2023
_z9783031218521
830 0 _aUnitext.
_pMatematica per il 3+2.
_x2038-5757
830 0 _aUnitext ;
_0https://id.loc.gov/authorities/names/no2006020454
_v147
856 4 0 _3OhioLINK
_zConnect to resource
_uhttps://rave.ohiolink.edu/ebooks/ebc2/9783031218538
856 4 0 _3SpringerLink
_zConnect to resource
_uhttps://link.springer.com/10.1007/978-3-031-21853-8
856 4 0 _3SpringerLink
_zConnect to resource (off-campus)
_uhttp://proxy.ohiolink.edu:9099/login?url=https://link.springer.com/10.1007/978-3-031-21853-8
942 _2ddc
_cBK
_n0
999 _c40
_d40