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Nonlinear 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, editors



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Titolo: Nonlinear 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, editors Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2010]
©2010
Descrizione fisica: 1 online resource (402 p.)
Disciplina: 515/.353
Soggetto topico: Differential equations, Nonlinear
Differential equations, Hyperbolic
Differential equations, Partial
Soggetto genere / forma: Electronic books.
Persona (resp. second.): HoldenH <1956-> (Helge)
KarlsenKenneth Hvistendahl
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""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""
Titolo autorizzato: Nonlinear partial differential equations and hyperbolic wave phenomena  Visualizza cluster
ISBN: 0-8218-8205-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480591403321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 526.