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Record Nr. |
UNINA9910480591403321 |
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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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2010] |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (402 p.) |
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Collana |
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Contemporary mathematics ; ; volume 526 |
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Disciplina |
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Soggetti |
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Differential equations, Nonlinear |
Differential equations, Hyperbolic |
Differential equations, Partial |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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"" |
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