Applied Mathematics

Part 1: pages 1 – 523 Full Text
Part 2: pages 525 – 1066 Full Text
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Hyperbolic Problems: Theory, Numerics, Applications

By Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson (Eds.)

ISBN-10: 1-60133-017-0

ISBN-13: 978-1-60133-017-8

The International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems, HYP2012, was held in Padova on June 24–29, 2012. The conference was the fourteenth in a highly successful series of bi-annual meetings that has become one of the most important international events in Applied Mathematics. The volume contains more than 110 contributions that were presented in this conference, including plenary presentations by C. De Lellis, E. Feireisl, N. Masmoudi, S. Mishra, G. Russo, J. Sethian, E. Zuazua, and a contribution by the keynote speaker J. Glimm. These contributions cover a wide range of topics. A very partial list includes: new methods for constructing turbulent solutions to multi-dimensional systems of conservation laws based on Baire category, transport equations with non-Lipschitz velocity fields, relative entropy functionals and the stability of fluid systems, numerical methods for hyperbolic systems with stiff relaxation terms and for multiphase flow, new advances in homogenization theory, optimal sensor location for solutions to multidimensional wave equations, singularities in general relativity. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.

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