By Sylvie Benzoni-Gavage
Authored via best students, this finished, self-contained textual content offers a view of the state-of-the-art in multi-dimensional hyperbolic partial differential equations, with a specific emphasis on difficulties during which glossy instruments of research have proved beneficial. Ordered in sections of progressively expanding levels of hassle, the textual content first covers linear Cauchy difficulties and linear preliminary boundary worth difficulties, prior to relocating directly to nonlinear problems,
including surprise waves. The e-book finishes with a dialogue of the appliance of hyperbolic PDEs to gasoline dynamics, culminating with the surprise wave research for genuine fluids.
With an intensive bibliography together with classical and up to date papers either in PDE research and in functions (mainly to gasoline dynamics), this article is going to be worthy to graduates and researchers in either hyperbolic PDEs and compressible fluid dynamics.
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