LEADER 04619nam 22006615 450 001 9910254073703321 005 20200630105757.0 010 $a3-662-49451-5 024 7 $a10.1007/978-3-662-49451-6 035 $a(CKB)3710000000717750 035 $a(DE-He213)978-3-662-49451-6 035 $a(MiAaPQ)EBC4533446 035 $a(PPN)194074838 035 $a(EXLCZ)993710000000717750 100 $a20160526d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHyperbolic Conservation Laws in Continuum Physics$b[electronic resource] /$fby Constantine M. Dafermos 205 $a4th ed. 2016. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2016. 215 $a1 online resource (XXXVIII, 826 p. 52 illus.) 225 1 $aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x0072-7830 311 $a3-662-49449-3 320 $aIncludes bibliographical references and indexes. 330 $aThis is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews. 410 0$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x0072-7830 606 $aPartial differential equations 606 $aThermodynamics 606 $aMechanics 606 $aMechanics, Applied 606 $aFluids 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 615 0$aPartial differential equations. 615 0$aThermodynamics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aFluids. 615 14$aPartial Differential Equations. 615 24$aThermodynamics. 615 24$aClassical Mechanics. 615 24$aSolid Mechanics. 615 24$aFluid- and Aerodynamics. 676 $a515.3535 700 $aDafermos$b Constantine M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0451459 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254073703321 996 $aHyperbolic conservation laws in continuum physics$9145666 997 $aUNINA