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024 7 $a10.1007/978-3-319-15093-2
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035   $a(DE-He213)978-3-319-15093-2
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035   $a(MiAaPQ)EBC5591680
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100   $a20150424d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aPartial Differential Equations in Action $eFrom Modelling to Theory /$fby Sandro Salsa
205   $a2nd ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XVIII, 701 p.)
225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v86
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-15092-8 
320   $aIncludes bibliographical references (pages [679]-681) and index.
327   $a1 Introduction -- 2 Diffusion -- 3 The Laplace Equation -- 4 Scalar Conservation Laws and First Order Equations -- 5 Waves and vibrations -- 6 Elements of Functional Analysis -- 7 Distributions and Sobolev Spaces -- 8 Variational formulation of elliptic problems -- 9 Further Applications -- 10 Weak Formulation of Evolution Problems -- 11 Systems of Conservation Laws -- 12 A Fourier Series -- 13 B Measures and Integrals -- 14 C Identities and Formulas.
330   $aThe book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
410  0$aLa Matematica per il 3+2,$x2038-5722 ;$v86
606   $aMathematical models
606   $aDifferential equations, Partial
606   $aMathematical physics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
615  0$aMathematical models.
615  0$aDifferential equations, Partial.
615  0$aMathematical physics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aMathematical Modeling and Industrial Mathematics.
615 24$aPartial Differential Equations.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aMathematical and Computational Engineering.
676   $a515.3/53
700   $aSalsa$b Sandro$4aut$4http://id.loc.gov/vocabulary/relators/aut$061750
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299765803321
996   $aPartial differential equations in action$9715363
997   $aUNINA