Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Discusses the latest developments in kinematical conservation laws Includes numerous interesting applications to propagation of weak nonlinear waves and weak shock waves Deals with one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front Addresses useful topics for researchers in physics, mathematics, and engineering Is written by a leading expert on KCL theory
Autor*in
Phoolan Prasad
Themen in »Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws«
Kinematical conservation laws Curved shock propagation Nonlinear hyperbolic waves Hyperbolic partial differential equations Multidimesional waves partial differential equations ordinary differential equations