Articoli correlati a Systems of Conservation Laws 1: Hyperbolicity, Entropies,...

Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves - Rilegato

Serre, Denis

 
9780521582339: Systems of Conservation Laws 1: Hyperbolicity, Entropies, Shock Waves

Sinossi

Graduate text on mathematical theory of conservation laws and partial differential equations.

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Descrizione del libro

This is a self-contained presentation that sets up the foundations of the modern theory of conservation laws and describes the physical models and mathematical methods leading to the Glimm scheme. The author then takes the reader to the current state of knowledge in the subject. With large numbers of exercises and full discussion of all the ideas this will be an ideal text for graduate courses in partial differential equations.

Contenuti

1. Some models; 2. Scalar equations in dimension d = 1; 3. Linear and quasi-linear systems; 4. Dimension d = 1, the Riemann problem; 5. Glimm's method; 6. Second order perturbations; 7. Viscosity profiles of shock waves; Bibliography; Index.

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