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Record Nr. |
UNINA9910788633103321 |
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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, ; 526 , 0271-4132 |
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Disciplina |
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Soggetti |
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Differential equations, Nonlinear |
Differential equations, Hyperbolic |
Differential equations, Partial |
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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 dynamics -- 3. Long-time behavior -- 4. Scale analysis -- References -- Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation -- |
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Instability of solitary waves for a nonlinearly dispersive equation -- Kinetic relations for under-compressive shock waves. Physical, mathematical,and numerical issues -- Global regularity, and wave breaking phenomena in a class of non-local-dispersive 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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