Nonlinear partial differential equations and hyperbolic wave phenomena : 20082009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway

Contributor(s): Holden H | Karlsen Kenneth HvistendahlMaterial type: Computer fileComputer fileSeries: 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, Hyperbolic | Differential equations, Nonlinear | Differential equations, PartialOnline resources: Click here to access online
Contents:
A hyperbolic model of granular flow ; Hilbertian approaches to some nonlinear conservation laws ; On the asymptotic behavior of the gradient flow of a polyconvex functional ; On degenerate partial differential equations ; Symmetric solutions to multidimensional conservation laws ; Product estimates for waveSobolev spaces in Debora Amadori and Wen Shen ; Yann Brenier ; Jose Antonio Carrillo and Stefano Lisini ; GuiQiang G Chen ; Nicola Costanzino and Helge Kristian Jenssen ; Piero D'Ancona Damiano Foschi and Sigmund Selberg ; Iryna Egorova and Gerald Teschl ; Eduard Feireisl ; Chunxia Guan Kenneth H Karlsen and Zhaoyang Yin ; Henrik Kalisch and Nguyet Thanh Nguyen ; Philippe G LeFloch ; Hailiang Liu and Zhaoyang Yin ; Siddhartha Mishra and Eitan Tadmor ; Christian Rohde ; Denis Serre ; John D Towers
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Includes bibliographical references.

A hyperbolic model of granular flow ; Hilbertian approaches to some nonlinear conservation laws ; On the asymptotic behavior of the gradient flow of a polyconvex functional ; On degenerate partial differential equations ; Symmetric solutions to multidimensional conservation laws ; Product estimates for waveSobolev spaces in +1 and +1 dimensions ; On the Cauchy problem for the modified Kortewegde Vries equation with steplike finitegap initial data ; Asymptotic analysis in thermodynamics of viscous fluids ; Wellposedness and blowup phenomena for a modified twocomponent CamassaHolm equation ; Instability of solitary waves for a nonlinearity dispersive equation ; Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues ; Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations ; Potential based, constraint preserving, genuinely multidimensional schemes for systems of conservation laws ; A local and loworder NavierStokesKorteweg system ; Local existence for viscous system of conservation laws: ^s ata with &gt ; 1+d2 ; Finite difference methods for discretizing singular source terms in a Poisson interface problem Debora Amadori and Wen Shen ; Yann Brenier ; Jose Antonio Carrillo and Stefano Lisini ; GuiQiang G Chen ; Nicola Costanzino and Helge Kristian Jenssen ; Piero D'Ancona Damiano Foschi and Sigmund Selberg ; Iryna Egorova and Gerald Teschl ; Eduard Feireisl ; Chunxia Guan Kenneth H Karlsen and Zhaoyang Yin ; Henrik Kalisch and Nguyet Thanh Nguyen ; Philippe G LeFloch ; Hailiang Liu and Zhaoyang Yin ; Siddhartha Mishra and Eitan Tadmor ; Christian Rohde ; Denis Serre ; John D Towers

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