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020 _a9783642390074
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024 7 _a10.1007/978-3-642-39007-4
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040 _aSpringer
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245 1 0 _aHyperbolic Conservation Laws and Related Analysis with Applications
_helectronic resource
_bEdinburgh, September 2011 /
_cedited by Gui-Qiang G. Chen, Helge Holden, Kenneth H. Karlsen.
260 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aX, 384 p. 32 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v49
505 0 _aPreface by G.-Q. Chen, H. Holden, K. H. Karlsen -- B. Andreianov: Semigroup Approach for Conservation Laws with Discontinuous Flux -- F. Betancourt, R. Bürger, R. Ruiz-Baier, H.Torres, C. A. Vega: On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modeling Sedimentation of Solid-liquid suspensions -- L. Caravenna: SBV Regularity Results for Solutions to 1D Conservation Laws -- N. Chemetov, W. Neves: Generalized Buckley-Leverett System. - G.-Q. Chen, M. Slemrod, D. Wang: Entropy, Elasticity, and the Isometric Embedding Problem: M^3\to\R^6 -- G.-Q. Chen, W. Xiang: Existence and Stability of Global Solutions of Shock Diffraction Wedges for Potential Flow -- G. M. Coclite, L. di Ruvo, K. H. Karlsen: Some Wellposedness results for the Ostrovsky-Hunter Equation -- M. Ding, Ya. Li: An Overview for Piston Problems in Fluid Dynamics -- D. Donatelli, P. Marcati: Quasineutral Limit for the Navier-Stokes-Fourier-Poisson System -- H. Frid: Divergence-Measure Fields on Domains with Lipschitz Boundary -- T. Karper, A. Mellet, K. Trivisa: On Strong Local Alignment in the Kinetic Cucker-Smale Model -- D. Serre: Multi-Dimensional Systems of Conservation Laws. An Introductory Lecture -- B. Stevens: The Nash-Moser Iteration Technique with Application to Characteristic Free-Boundary Problems.
520 _aThis book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results  on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation.  Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model.    The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to researchers and graduate students interested in partial differential equations and related analysis with applications.  .
650 0 _amathematics.
_9566183
650 0 _aGlobal analysis (Mathematics).
_9303497
650 0 _aDifferential equations, partial.
_9303599
650 1 4 _aMathematics.
_9566184
650 2 4 _aPartial Differential Equations.
_9303602
650 2 4 _aMathematical physics.
_9296775
650 2 4 _aMathematical Applications in the Physical Sciences.
_9410541
650 2 4 _aanalysis.
_9303498
700 1 _aChen, Gui-Qiang G.
_eeditor.
_9452533
700 1 _aHolden, Helge.
_eeditor.
_9452268
700 1 _aKarlsen, Kenneth H.
_eeditor.
_9452534
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aSpringer Proceedings in Mathematics & Statistics,
_9445420
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39007-4
912 _aZDB-2-SMA
999 _c402486