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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Hyperbolic Differential equations, Partial |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8205-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480591403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Hyperbolic Differential equations, Partial |
| ISBN | 0-8218-8205-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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. |
| Record Nr. | UNINA-9910788633103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Hyperbolic Differential equations, Partial |
| ISBN | 0-8218-8205-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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. |
| Record Nr. | UNINA-9910815370703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||