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Analysis of Hydrodynamic Models - Peter Constantin

Analysis of Hydrodynamic Models

Buch | Softcover
62 Seiten
2017
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-479-9 (ISBN)
CHF 74,95 inkl. MwSt
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Presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author's approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions.
Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author’s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems.

Peter Constantin is the John von Neumann Professor in the Department of Mathematics and Director of PACM (Program in Applied and Computational Mathematics) at Princeton University. He was an Alfred P. Sloan Research Fellow (1986–1990) and is a Fellow of the Institute of Physics, a SIAM Fellow, a Fellow of the American Academy of Arts and Sciences, and an AMS Inaugural Fellow. He has served on the editorial boards of several journals and published over 170 papers and two books.

Preface
Chapter 1: Introduction
Chapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systems
Chapter 3: Hydrodynamic models
Chapter 4: Spaces and operators
Chapter 5: The Langrangian-Eulerian existence theorems
Chapter 6: Critical dissipative active scalars
Bibliography
Index.

Erscheinungsdatum
Reihe/Serie CBMS-NSF Regional Conference Series in Applied Mathematics
Verlagsort New York
Sprache englisch
Maße 152 x 229 mm
Gewicht 180 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Maschinenbau
ISBN-10 1-61197-479-8 / 1611974798
ISBN-13 978-1-61197-479-9 / 9781611974799
Zustand Neuware
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