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Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws

Phoolan Prasad
This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics. Finally, it addresses one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front. The topics discussed are the outcome of collaborative work that was carried out mainly at the Indian Institute of Science, Bengaluru, India. The theory presented in the book is supported by referring to extensive numerical results. The book is organised into ten chapters. Chapters 1¿4 offer a summary of and briefly discuss the theory of hyperbolic partial differential equations and conservation laws. Formulation of equations of a weakly nonlinear wavefront and those of a shock front are briefly explained in Chapter 5, while Chapter 6 addresses KCL theory in space of arbitrary dimensions. The remaining chapters examine various analyses and applications of KCL equations ending in the ultimate goal-propagation of a three-dimensional curved shock front and formation, propagation and interaction of kink lines on it.
Autor: Prasad, Phoolan
EAN: 9789811075803
Auflage: 001
Sprache: Englisch
Seitenzahl: 172
Produktart: Gebunden
Verlag: Springer Nature Singapore Springer Singapore
Veröffentlichungsdatum: 15.03.2018
Schlagworte: Differenzialrechnung Differenzialgleichung / Gewöhnliche Gewöhnliche Differenzialgleichung Gleichung Mathematik Mathematik / Informatik, Computer Modell Differenzialgleichung / Partielle Partielle Differenzialgleichung
Größe: 16 × 160 × 241
Gewicht: 430 g

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