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.
With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

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.

The work of the Japanese sculptor Toshimasa Kikuchi (born in 1979) is somehow bewilderingly obvious. Trained in the restoration of Buddhist statues, mastering to perfection the techniques of classical Japanese statuary, he carves pure forms in wood - geometric, hydrodynamic or figurative. His scientific repertory is of all time (mathematics, engineering, natural history), but his preferred materials and techniques are firmly grounded in tradition (Japanese hinoki cypress, urushi lacquer, kinpaku gold leaf). The installation he presents for his Carte Blanche at the musee Guimet in Paris, brings together a series of slender sculptures in lacquered wood of mathematical objects, in the tradition of the celebrated photographs that Man Ray took of them. These abstract forms, hanging from the ceiling like mobiles or laid on the floor like devotional objects, take shape through a virtuosity and craftsmanship seldom found in contemporary art. The book is lavishly illustrated by the Japanese photographer Tadayuki Minamoto, who was able to capture the magnificence of the mathematical abstraction of the works of Kikuchi; by photographs and paintings by Man Ray; and with fascinating mathematical objects from the Institut Henri Poincare, Paris, photographed by the French photographer Bertrand Michau. It is essential reading for lovers of surrealism and of the early years of twentieth-century abstraction as well as for all who are intrigued by the close relationship between art and mathematics.