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The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
Af: Gui-Qiang Chen, Mikhail Feldman Engelsk Paperback
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kr 215
The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
Af: Gui-Qiang Chen, Mikhail Feldman Engelsk Paperback

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.

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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.

Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 832
ISBN-13: 9780691160559
Indbinding: Paperback
Udgave:
ISBN-10: 0691160554
Kategori: Matematik
Udg. Dato: 27 feb 2018
Længde: 47mm
Bredde: 152mm
Højde: 234mm
Oplagsdato: 27 feb 2018
Forfatter(e) Gui-Qiang Chen, Mikhail Feldman


Kategori Matematik


Sprog Engelsk


Indbinding Paperback


Sider 832


Udgave


Længde 47mm


Bredde 152mm


Højde 234mm


Udg. Dato 27 feb 2018


Oplagsdato 27 feb 2018

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