The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures: (AMS-197) (Annals of Mathematics Studies, 197) - Tapa dura

Chen, Gui-Qiang; Feldman, Mikhail

 
9780691160542: The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures: (AMS-197) (Annals of Mathematics Studies, 197)
Tapa dura
ISBN 10: 0691160546 ISBN 13: 9780691160542
Editorial: Princeton University Press, 2018

Sinopsis

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws--PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs--mixed type, free boundaries, and corner singularities--that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Gui-Qiang G. Chen is the Statutory Professor in the Analysis of Partial Differential Equations at the Mathematical Institute of the University of Oxford, where he is also professorial fellow at Keble College. Mikhail Feldman is professor of mathematics at the University of Wisconsin-Madison.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Princeton University Press
Año de publicación
2018
Idioma
Inglés
ISBN 10 
0691160546
ISBN 13 
9780691160542
Encuadernación
Tapa dura
Número de páginas
832
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780691160559: The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures: (AMS-197) (Annals of Mathematics Studies, 197)

Edición Destacada

ISBN 10:  0691160554 ISBN 13:  9780691160559
Editorial: Princeton University Press, 2018
Tapa blanda