Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena
About this Volume
Edited by: Helge Holden and Kenneth H. Karlsen
Publication Year 2010:
Volume: 526
ISBNs: 978-0-8218-4976-7 (p); 978-0-8218-8205-4 (e)
DOI: http://dx.doi.org/10.1090/conm/526
Table of Contents
Front/Back Matter
Articles
- Debora Amadori and Wen Shen -- A hyperbolic model of granular flow
- Yann Brenier -- Hilbertian approaches to some non-linear conservation laws
- José Antonio Carrillo and Stefano Lisini -- On the asymptotic behavior of the gradient flow of a polyconvex functional
- Gui-Qiang G. Chen -- On degenerate partial differential equations
- Nicola Costanzino and Helge Kristian Jenssen -- Symmetric solutions to multi-dimensional conservation laws
- Piero D’Ancona, Damiano Foschi and Sigmund Selberg -- Product estimates for wave-Sobolev spaces in $2+1$ and $1+1$ dimensions
- Iryna Egorova and Gerald Teschl -- On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data
- Eduard Feireisl -- Asymptotic analysis in thermodynamics of viscous fluids
- Chunxia Guan, Kenneth H. Karlsen and Zhaoyang Yin -- Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation
- Henrik Kalisch and Nguyet Thanh Nguyen -- Instability of solitary waves for a nonlinearity dispersive equation
- Philippe G. LeFloch -- Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues
- Hailiang Liu and Zhaoyang Yin -- Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations
- Siddhartha Mishra and Eitan Tadmor -- Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws
- Christian Rohde -- A local and low-order Navier-Stokes-Korteweg system
- Denis Serre -- Local existence for viscous system of conservation laws: $H^s$-data with $s>1+d/2$
- John D. Towers -- Finite difference methods for discretizing singular source terms in a Poisson interface problem


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