Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws
2017 ed.
Book Details
Format
Hardback or Cased Book
ISBN-10
9811075808
ISBN-13
9789811075803
Edition
2017 ed.
Publisher
Springer Verlag, Singapore
Imprint
Springer Verlag, Singapore
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Mar 15th, 2018
Print length
159 Pages
Product Classification:
Differential calculus & equationsMathematical modelling
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This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics.
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.
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