Contents
Preface vii
A hyperbolic model of granular flow
Debora Amadori and Wen Shen 1
Hilbertian approaches to some non-linear conservation laws
Yann Brenier 19
On the asymptotic behavior of the gradient flow of a polyconvex functional
Jos´
e A. Carrillo and Stefano Lisini 37
On degenerate partial differential equations
Gui-Qiang G. Chen 53
Symmetric solutions to multi-dimensional conservation laws
Nicola Costanzino and Helge Kristian Jenssen 91
Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions
Piero D’Ancona, Damiano Foschi, and Sigmund Selberg 125
On the Cauchy problem for the modified Korteweg-de Vries equation with
steplike finite-gap initial data
Iryna Egorova and Gerald Teschl 151
Asymptotic analysis in thermodynamics of viscous fluids
Eduard Feireisl 159
Well-posedness and blow-up phenomena for a modified two-component
Camassa-Holm equation
Chunxia Guan, Kenneth H. Karlsen, and Zhaoyang Yin 199
Instability of solitary waves for a nonlinearly dispersive equation
Henrik Kalisch and Nguyet Thanh Nguyen 221
Kinetic relations for undercompressive shock waves. Physical, mathematical,
and numerical issues
Philippe G. LeFloch 237
Global regularity, and wave breaking phenomena in a class of nonlocal
dispersive equations
Hailiang Liu and Zhaoyang Yin 273
Potential based, constraint preserving, genuinely multi-dimensional schemes
for systems of conservation laws
Siddhartha Mishra and Eitan Tadmor 295
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