Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics is popular PDF and ePub book, written by Tian Ma in 2005, it is a fantastic choice for those who relish reading online the Differential equations, Partial genre. Let's immerse ourselves in this engaging Differential equations, Partial book by exploring the summary and details provided below. Remember, Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics can be Read Online from any device for your convenience.
Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics Book PDF Summary
This monograph presents a geometric theory for incompressible flow and its applications to fluid dynamics. The main objective is to study the stability and transitions of the structure of incompressible flows and its applications to fluid dynamics and geophysical fluid dynamics. The development of the theory and its applications goes well beyond its original motivation of the study of oceanic dynamics. The authors present a substantial advance in the use of geometric and topological methods to analyze and classify incompressible fluid flows. The approach introduces genuinely innovative ideas to the study of the partial differential equations of fluid dynamics. One particularly useful development is a rigorous theory for boundary layer separation of incompressible fluids. The study of incompressible flows has two major interconnected parts. The first is the development of a global geometric theory of divergence-free fields on general two-dimensional compact manifolds. The second is the study of the structure of velocity fields for two-dimensional incompressible fluid flows governed by the Navier-Stokes equations or the Euler equations. Motivated by the study of problems in geophysical fluid dynamics, the program of research in this book seeks to develop a new mathematical theory, maintaining close links to physics along the way. In return, the theory is applied to physical problems, with more problems yet to be explored. The material is suitable for researchers and advanced graduate students interested in nonlinear PDEs and fluid dynamics.
Detail Book of Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics PDF
- Author : Tian Ma
- Release : 17 June 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821836934
- Genre : Differential equations, Partial
- Total Page : 248 pages
- Language : English
- PDF File Size : 9,7 Mb
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