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Nonlinear partial differential equations and hyperbolic wave phenomena : [electronic resource] 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway / [edited by] Helge Holden, Kenneth H. Karlsen.

By: Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations (2008-2009 : Centre for Advanced Study of the Norwegian Academy of Sciences and Letters)Contributor(s): Holden, H. (Helge), 1956- | Karlsen, Kenneth HvistendahlMaterial type: Text

TextSeries: Contemporary mathematics ; v. 526Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (vii, 389 p. : ill.)ISBN: 9780821882054 (online)Subject(s): Differential equations, Nonlinear -- Congresses | Differential equations, Hyperbolic -- Congresses | Differential equations, Partial -- CongressesAdditional physical formats: Nonlinear partial differential equations and hyperbolic wave phenomena :DDC classification: 515/.353 LOC classification: QA377 | .N695 2010Online resources: Contents | Contents

Contents:

A hyperbolic model of granular flow / Debora Amadori and Wen Shen -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10374 Hilbertian approaches to some non-linear conservation laws / Yann Brenier -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10375 On the asymptotic behavior of the gradient flow of a polyconvex functional / Jos�e Antonio Carrillo and Stefano Lisini -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10376 On degenerate partial differential equations / Gui-Qiang G. Chen -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10377 Symmetric solutions to multi-dimensional conservation laws / Nicola Costanzino and Helge Kristian Jenssen -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10378 Product estimates for wave-Sobolev spaces in $2+1$ and $1+1$ dimensions / Piero D'Ancona, Damiano Foschi and Sigmund Selberg -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10379 On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data / Iryna Egorova and Gerald Teschl -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10380 Asymptotic analysis in thermodynamics of viscous fluids / Eduard Feireisl -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10381 Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation / Chunxia Guan, Kenneth H. Karlsen and Zhaoyang Yin -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10382 Instability of solitary waves for a nonlinearity dispersive equation / Henrik Kalisch and Nguyet Thanh Nguyen -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10383 Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues / Philippe G. LeFloch -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10384 Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations / Hailiang Liu and Zhaoyang Yin -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10385 Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws / Siddhartha Mishra and Eitan Tadmor -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10386 A local and low-order Navier-Stokes-Korteweg system / Christian Rohde -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10387 Local existence for viscous system of conservation laws: $H^s$-data with $s>1+d/2$ / Denis Serre -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10388 Finite difference methods for discretizing singular source terms in a Poisson interface problem / John D. Towers -- http://www.ams.org/conm/526/ http://dx.doi.org/10.1090/conm/526/10389

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11808

Includes bibliographical references.

A hyperbolic model of granular flow / Debora Amadori and Wen Shen -- Hilbertian approaches to some non-linear conservation laws / Yann Brenier -- On the asymptotic behavior of the gradient flow of a polyconvex functional / Jos�e Antonio Carrillo and Stefano Lisini -- On degenerate partial differential equations / Gui-Qiang G. Chen -- Symmetric solutions to multi-dimensional conservation laws / Nicola Costanzino and Helge Kristian Jenssen -- Product estimates for wave-Sobolev spaces in $2+1$ and $1+1$ dimensions / Piero D'Ancona, Damiano Foschi and Sigmund Selberg -- On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data / Iryna Egorova and Gerald Teschl -- Asymptotic analysis in thermodynamics of viscous fluids / Eduard Feireisl -- Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation / Chunxia Guan, Kenneth H. Karlsen and Zhaoyang Yin -- Instability of solitary waves for a nonlinearity dispersive equation / Henrik Kalisch and Nguyet Thanh Nguyen -- Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues / Philippe G. LeFloch -- Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations / Hailiang Liu and Zhaoyang Yin -- Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws / Siddhartha Mishra and Eitan Tadmor -- A local and low-order Navier-Stokes-Korteweg system / Christian Rohde -- Local existence for viscous system of conservation laws: $H^s$-data with $s>1+d/2$ / Denis Serre -- Finite difference methods for discretizing singular source terms in a Poisson interface problem / John D. Towers --