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

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 o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Serre, D. (Denis)
Otros Autores: Sneddon, I. N.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2003.
Colección:Systems of conservation laws.
Temas:
Acceso en línea:Texto completo

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505 0 |a Preliminaries; Contents; Acknowledgments; Introduction; 1 Some models; 2 Scalar equations in dimension d = 1; 3 Linear and quasi-linear systems; 4 Dimension d=D 1, the Riemann problem; 5 The Glimm scheme; 6 Second order perturbations; 7 Viscosity profiles for shock waves; Bibliography; Index. 
520 |a 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. 
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