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This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Authored by leading scholars, this comprehensive, self-contained
text presents a view of the state of the art in multi-dimensional
hyperbolic partial differential equations, with a particular
emphasis on problems in which modern tools of analysis have proved
useful. Ordered in sections of gradually increasing degrees of
difficulty, the text first covers linear Cauchy problems and linear
initial boundary value problems, before moving on to nonlinear
problems, including shock waves. The book finishes with a
discussion of the application of hyperbolic PDEs to gas dynamics,
culminating with the shock wave analysis for real fluids.
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