portada Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems (en Inglés)

Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems (en Inglés)

Formato

Libro Físico

Autor

Denis Serre

Traducido por

I. N. Sneddon

Editorial

Cambridge University Press

Año

2000

Idioma

Inglés

N° páginas

282

Encuadernación

Tapa Dura

Dimensiones

25.7x18x1.8 cm

Peso

0.64 kg.

ISBN

0521633303

ISBN13

9780521633307

N° edición

Categorías

Cálculo diferencial y ecuaciones
Matemáticas aplicadas

Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems (en Inglés)

Denis Serre (Autor) · I. N. Sneddon (Traducido por) · Cambridge University Press · Tapa Dura

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Reseña del libro "Systems of Conservation Laws 2: Geometric Structures, Oscillations, and Initial-Boundary Value Problems (en Inglés)"

Systems of conservation laws arise naturally in physics and chemistry. Continuing where the previous volume left off, the author considers the maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness. The author applies this tool to the description of large amplitude wave propagation. Small waves are studied through geometrical optics. Special structures are presented in chapters on rich and Temple systems. Finally, Serre explains why the initial-boundary value problem is far from trivial, with descriptions of the Kreiss-Lopatinski condition for well-posedness, with applications to shock wave stability, and certain problems in boundary layer theory. Throughout the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.