Includes bibliographical references and index.

Multidimensional shock waves and surface waves / Sylvie Benzoni-Gavage and Jean-Fran�cois Coulombel -- Shock reflection-diffraction phenomena and multidimensional conservation laws / Gui-Qiang Chen and Mikhail Feldman -- Study on Mach reflection and Mach configuration / Shuxing Chen -- Nonlinear regularizing effect for conservation laws / Fran�cois Golse -- Numerical methods for hyperbolic systems with singular coefficients: well-balanced scheme, Hamiltonian preservation, and beyond / Shi Jin -- Some recent results on the critical surface quasi-geostrophic equation: a review / Alexander Kiselev -- Why hyperbolic and kinetic models for cell populations self-organization? / Beno�it Perthame -- Flows on networks and complicated domains / Benedetto Piccoli -- Global solutions for a hyperbolic model of multiphase flow / Debora Amadori and Andrea Corli -- On the convergence rate for the Glimm scheme / Fabio Ancona and Andrea Marson -- Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation / Weizhu Bao and Fong Yin Lim -- Conservation laws: transonic flow and differential geometry / Gui-Qiang Chen, Marshall Slemrod and Dehua Wang -- A survey on the $L^1$ comparison of entropy weak solutions to Euler equations in the large with respect to physical parameters / Cleopatra Christoforou -- Low regularity solutions of the Maxwell-Dirac system / Piero D'Ancona, Damiano Foschi and Sigmund Selberg -- Stabilization for discontinuous Galerkin methods applied to systems of conservation laws / Andreas Dedner and Robert Kl�ofkorn -- Ill-posedness for bounded admissible solutions of the 2-dimensional $p$-system / Camillo De Lellis -- Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems / Donatella Donatelli and Pierangelo Marcati -- Stability in the $L^1$ norm via a linearization method for nonlinear hyperbolic systems / Philippe G. LeFloch -- A review of semiconductor models: global solvability and hierarchy / Shinya Nishibata and Masahiro Suzuki --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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