04055nam 2200613 450 991048059140332120170924234005.00-8218-8205-8(CKB)3240000000070049(EBL)3113249(SSID)ssj0000629392(PQKBManifestationID)11437683(PQKBTitleCode)TC0000629392(PQKBWorkID)10719229(PQKB)10690545(MiAaPQ)EBC3113249(PPN)197108555(EXLCZ)99324000000007004920100422h20102010 uy| 0engur|n|---|||||txtccrNonlinear partial differential equations and hyperbolic wave phenomena the 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway /Helge Holden, Kenneth H. Karlsen, editorsProvidence, Rhode Island :American Mathematical Society,[2010]©20101 online resource (402 p.)Contemporary mathematics ;volume 526Description based upon print version of record.0-8218-4976-X Includes bibliographical references.""Contents""; ""Preface""; ""A hyperbolic model of granular flow""; ""1. The model of granular flow""; ""2. Global smooth solutions""; ""3. Global existence of large BV solutions""; ""4. Global BV solutions of an initial boundary value problem""; ""5. Slow erosion limit""; ""References""; ""Hilbertian approaches to some non-linear conservation laws""; ""On the asymptotic behavior of the gradient flow of a polyconvex functional""; ""On degenerate partial differential equations""; ""Symmetric solutions to multi-dimensional conservation laws""""Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions""""1. Introduction""; ""2. Notation and preliminaries""; ""3. The case b0 = b1 = 0 < b2""; ""4. The case b0 = 0 < b1, b2 in 2d""; ""5. The case 0 < b0, b1, b2 in 2d""; ""6. The case b0 < 0 < b1, b2 in 2d""; ""7. The product law in 1d""; ""References""; ""On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data""; ""Asymptotic analysis in thermodynamics of viscous fluids""; ""1. Introduction""; ""2. Mathematical theory of fluid dynamics""; ""3. Long-time behavior""""4. Scale analysis""""References""; ""Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation""; ""Instability of solitary waves for a nonlinearly dispersive equation""; ""Kinetic relations for undercompressive shock waves. Physical, mathematical,and numerical issues""; ""Global regularity, and wave breaking phenomena in a class of nonlocaldispersive equations""; ""Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws""; ""A local and low-order Navier-Stokes-Korteweg system""""Local existence for viscous system of conservation laws: Hs-data with s > 1 + d/2""""Finite difference methods for discretizing singular source terms in a Poisson interface problem""Contemporary mathematics (American Mathematical Society) ;v. 526.Differential equations, NonlinearCongressesDifferential equations, HyperbolicCongressesDifferential equations, PartialCongressesElectronic books.Differential equations, NonlinearDifferential equations, HyperbolicDifferential equations, Partial515/.353Holden H(Helge),1956-Karlsen Kenneth HvistendahlMiAaPQMiAaPQMiAaPQBOOK9910480591403321Nonlinear partial differential equations and hyperbolic wave phenomena766715UNINA