portada Quasilinear Hyperbolic Systems, Compressible Flows, and Waves (en Inglés)

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves (en Inglés)

Formato

Libro Físico

Autor

Vishnu D. Sharma

Editorial

CRC Press

Idioma

Inglés

N° páginas

282

Encuadernación

Tapa Dura

ISBN

9781439836903

ISBN13

9781439836903

Categorías

Matemáticas aplicadas
Física
Ingeniería mecánica

Quasilinear Hyperbolic Systems, Compressible Flows, and Waves (en Inglés)

Vishnu D. Sharma (Autor) · CRC Press · Tapa Dura

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Reseña del libro "Quasilinear Hyperbolic Systems, Compressible Flows, and Waves (en Inglés)"

Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial differential equations, the book discusses the scalar conservation laws and hyperbolic systems in two independent variables. Using the method of characteristics and singular surface theory, the author then presents the evolutionary behavior of weak and mild discontinuities in a quasilinear hyperbolic system. He also explains how to apply weakly nonlinear geometrical optics in nonequilibrium and stratified gas flows and demonstrates the power, generality, and elegance of group theoretic methods for solving Euler equations of gasdynamics involving shocks. The final chapter deals with the kinematics of a shock of arbitrary strength in three dimensions.With a focus on physical applications, this text takes readers on a journey through this fascinating area of applied mathematics. It provides the essential mathematical concepts and techniques to understand the phenomena from a theoretical standpoint and to solve a variety of physical problems.