Optimization proxies have the potential to transform various applications through significant improvements in efficiency.
New theoretical and experimental approaches help explain the self-organization of ice under turbulence.
We can trace the evolution of iterative methods up to the present day by examining several pivotal big ideas.
Koopman operator theory has recently emerged as the primary candidate for extracting human-interpretable models from data.
In 2023, SIAM partnered with the Livermore Lab Foundation to support an undergraduate student internship.
Ernest Davis reviews two books about issues of privacy and inequality with facial recognition technologies.
The Hong Kong Polytechnic University SIAM Student Chapter organized an exciting event with experts in the field of optimization.
-
2017 / x + 62 pages / Softcover / 978-1-611974-79-9 / List Price $39.00 / SIAM Member Price $27.30 / Order Code: CB90
Keywords:hydrodynamics, models, Langrangian, Eulerian, scalars
Contents Preface Index
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.
Audience This book is intended for graduate students and junior researchers in mathematics.
About the Author 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.
ISBN 9781611974799