000 | 03785nam a22005295i 4500 | ||
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001 | 978-3-540-72187-1 | ||
003 | DE-He213 | ||
005 | 20190213151331.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 gw | s |||| 0|eng d | ||
020 |
_a9783540721871 _9978-3-540-72187-1 |
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024 | 7 |
_a10.1007/978-3-540-72187-1 _2doi |
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050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
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072 | 7 |
_aPBKJ _2thema |
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082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aBressan, Alberto. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aHyperbolic Systems of Balance Laws _h[electronic resource] : _bLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14–21, 2003 / _cby Alberto Bressan, Denis Serre, Mark Williams, Kevin Zumbrun ; edited by Pierangelo Marcati. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
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300 |
_aXII, 356 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aC.I.M.E. Foundation Subseries ; _v1911 |
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505 | 0 | _aBV Solutions to Hyperbolic Systems by Vanishing Viscosity -- Discrete Shock Profiles: Existence and Stability -- Stability of Multidimensional Viscous Shocks -- Planar Stability Criteria for Viscous Shock Waves of Systems with Real Viscosity. | |
520 | _aThe present Cime volume includes four lectures by Bressan, Serre, Zumbrun and Williams and an appendix with a Tutorial on Center Manifold Theorem by Bressan. Bressan’s notes start with an extensive review of the theory of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational and in the irrational cases and gives a concise introduction to the use of spectral methods for stability analysis. Finally the lectures by Williams and Zumbrun deal with the stability of multidimensional fronts. Williams’ lecture describes the stability of multidimensional viscous shocks: the small viscosity limit, linearization and conjugation, Evans functions, Lopatinski determinants etc. Zumbrun discusses planar stability for viscous shocks with a realistic physical viscosity, necessary and sufficient conditions for nonlinear stability, in analogy to the Lopatinski condition obtained by Majda for the inviscid case. | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aNumerical analysis. | |
650 | 1 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
650 | 2 | 4 |
_aClassical and Continuum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P2100X |
650 | 2 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
700 | 1 |
_aSerre, Denis. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aWilliams, Mark. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aZumbrun, Kevin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aMarcati, Pierangelo. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540837770 |
776 | 0 | 8 |
_iPrinted edition: _z9783540721864 |
830 | 0 |
_aC.I.M.E. Foundation Subseries ; _v1911 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-72187-1 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10312 _d10312 |