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Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

About this Title

Helge Holden and Kenneth H. Karlsen, Editors

Publication: Contemporary Mathematics
Publication Year: 2010; Volume 526
ISBNs: 978-0-8218-4976-7 (print); 978-0-8218-8205-4 (online)
DOI: https://doi.org/10.1090/conm/526
MathSciNet review: 2761921

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Table of Contents

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Front/Back Matter

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Articles

• Debora Amadori and Wen Shen – A hyperbolic model of granular flow [MR 2731985]
• Yann Brenier – Hilbertian approaches to some non-linear conservation laws [MR 2731986]
• José Antonio Carrillo and Stefano Lisini – On the asymptotic behavior of the gradient flow of a polyconvex functional [MR 2731987]
• Gui-Qiang G. Chen – On degenerate partial differential equations [MR 2731988]
• Nicola Costanzino and Helge Kristian Jenssen – Symmetric solutions to multi-dimensional conservation laws [MR 2731989]
• Piero D’Ancona, Damiano Foschi and Sigmund Selberg – Product estimates for wave-Sobolev spaces in $2+1$ and $1+1$ dimensions [MR 2731990]
• Iryna Egorova and Gerald Teschl – On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data [MR 2731991]
• Eduard Feireisl – Asymptotic analysis in thermodynamics of viscous fluids [MR 2731992]
• Chunxia Guan, Kenneth H. Karlsen and Zhaoyang Yin – Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation [MR 2731993]
• Henrik Kalisch and Nguyet Thanh Nguyen – Instability of solitary waves for a nonlinearity dispersive equation [MR 2731994]
• Philippe G. LeFloch – Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues [MR 2731995]
• Hailiang Liu and Zhaoyang Yin – Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations [MR 2731996]
• Siddhartha Mishra and Eitan Tadmor – Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws [MR 2731997]
• Christian Rohde – A local and low-order Navier-Stokes-Korteweg system [MR 2731998]
• Denis Serre – Local existence for viscous system of conservation laws: $H^s$-data with $s>1+d/2$ [MR 2731999]
• John D. Towers – Finite difference methods for discretizing singular source terms in a Poisson interface problem [MR 2732000]