Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems PDF Download
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Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252
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Book Description
View the abstract.
Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252
Get Book Here
Book Description
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Author: Gui-Qiang G Chen
Publisher: Princeton University Press
ISBN: 1400885434
Category : Mathematics
Languages : en
Pages : 830
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Book Description
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.
Author: Eitan Tadmor
Publisher: American Mathematical Soc.
ISBN: 0821847295
Category : Mathematics
Languages : en
Pages : 361
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Book Description
The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.
Author: Eitan Tadmor
Publisher: American Mathematical Society(RI)
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 368
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Book Description
'The International Conference on Hyperbolic Problems: Theory, Numerics and Applications', 'HYP2008', was held at the University of Maryland from June 9-14, 2008. This title contains articles that cover a range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of 'hyperbolic PDEs'.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 992
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 430
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Book Description
A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA).
Author: Herbert Oertel
Publisher: Springer Science & Business Media
ISBN: 0387218033
Category : Technology & Engineering
Languages : en
Pages : 731
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Book Description
This book is an update and extension of the classic textbook by Ludwig Prandtl, Essentials of Fluid Mechanics. It is based on the 10th German edition with additional material included. Chapters on wing aerodynamics, heat transfer, and layered flows have been revised and extended, and there are new chapters on fluid mechanical instabilities and biomedical fluid mechanics. References to the literature have been kept to a minimum, and the extensive historical citations may be found by referring to previous editions. This book is aimed at science and engineering students who wish to attain an overview of the various branches of fluid mechanics. It will also be useful as a reference for researchers working in the field of fluid mechanics.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1192
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Author: Gabi Ben-Dor
Publisher: Springer Science & Business Media
ISBN: 1475742797
Category : Science
Languages : en
Pages : 321
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Book Description
The phenomenon of shock wave reflection was first reported by the distinguished philosopher Ernst Mach in 1878. Its study was then abandoned for a period of about 60 years until its investigation was initiated in the early 1940s by Professor John von Neumann and Professor Bleakney. Under their supervision, 15 years of intensive research related to various aspects of the reflection of shock waves in pseudo-steady flows were carried out. It was during this period that the four basic shock wave reflection configurations were discovered. Then, for a period of about 10 years from the mid 1950s until the mid 1960s, investigation of the reflection phenomenon of shock waves was kept on a low flame all over the world (e. g. Australia, Japan, Canada, U. S. A. , U. S. S. R. , etc. ) until Professor Bazhenova from the U. S. S. R. , Professor Irvine Glass from Canada, and Professor Roy Henderson from Australia re initiated the study of this and related phenomena. Under their scientific supervision and leadership, numerous findings related to this phenomenon were reported. Probably the most productive research group in the mid 1970s was that led by Professor Irvine Glass in the Institute of Aerospace Studies of the University of Toronto. In 1978, exactly 100 years after Ernst Mach first reported his discovery of the reflection phenomenon, I published my Ph. D. thesis in which, for the first time, analytical transition criteria between the various shock wave reflection configurations were established.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 528
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Book Description
