Record ID | ia:transportequatio0000unse |
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LEADER: 07233cam 2201009Ia 4500
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008 080715s2008 gw ob 001 0 eng d
006 m o d
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024 7 $a10.1007/978-3-540-76781-7$2doi
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082 04 $a515.3535$222
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245 00 $aTransport equations and multi-d hyperbolic conservation laws /$cLuigi Ambrosio [and others].
260 $aBerlin ;$aLondon :$bSpringer,$c2008.
300 $a1 online resource (xiv, 130 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aLecture notes of the Unione matematica italiana,$x1862-9113 ;$v5
504 $aIncludes bibliographical references and index.
588 0 $aPrint version record.
505 0 $aPreface -- Part I by L. Ambrosio and G. Crippa: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields -- Part II by C. De Lellis: A note on Alberti's rank-one theorem -- Part III by G. Crippa, F. Otto and M. Westdickenberg: Regularizing effect of nonlinearity in multidimensional scalar conservation laws -- Index.
520 8 $aThe theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. Geometric and measure theoretic tools play a key role to obtain some fundamental advances: the well-posedness theory of linear transport equations with irregular coefficients, and the study of the BV-like structure of bounded entropy solutions to multi-dimensional scalar conservation laws. The volume contains surveys of recent deep results, provides an overview of further developments and related open problems, and will capture the interest of members both of the hyperbolic and the elliptic community willing to explore the intriguing interplays that link their worlds. Readers should have basic knowledge of PDE and measure theory.
546 $aEnglish.
650 0 $aConservation laws (Mathematics)
650 6 $aLois de conservation (Mathématiques)
650 07 $aConservation laws (Mathematics)$2cct
650 7 $aConservation laws (Mathematics)$2fast$0(OCoLC)fst00875496
655 4 $aElectronic books.
700 1 $aAmbrosio, Luigi.
700 1 $aAncona, Fabio,$d1964-
710 2 $aUnione matematica italiana.
776 08 $iPrint version:$tTransport equations and multi-d hyperbolic conservation laws.$dBerlin ; London : Springer, 2008$z9783540767800$z3540767800$w(OCoLC)182664253
830 0 $aLecture notes of the Unione Matematica Italiana ;$v5.
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