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Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws
ISBN-13:
9789811075810
Veröffentl:
2018
Seiten:
159
Autor:
Phoolan Prasad
Serie:
Infosys Science Foundation Series Infosys Science Foundation Series in Mathematical Sciences
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
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.
Introduction.- Single first-order PDE.- Single conservation law.- Systems of hyperbolic PDE and conservation laws.- Propagation of nonlinear wave and shock.- Kinematical conservation laws (KCL).- Conservation forms of energy transport equations.- 2-D KCL, WNLRT and SRT.- 2-D WNLRT and SRT - some applications.- 3-D WNLRT and SRT: Theory and Applications.- Appendix and Notations.
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