Instability and Non uniqueness for the 2D Euler Equations After M Vishik is popular PDF and ePub book, written by Camillo De Lellis in 2024-02-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Instability and Non uniqueness for the 2D Euler Equations After M Vishik can be Read Online from any device for your convenience.
Instability and Non uniqueness for the 2D Euler Equations After M Vishik Book PDF Summary
An essential companion to M. Vishik’s groundbreaking work in fluid mechanics The incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be derived from the classical conservations laws of mass and momentum under some very idealized assumptions. While they look simple compared to many other equations of mathematical physics, several fundamental mathematical questions about them are still unanswered. One is under which assumptions it can be rigorously proved that they determine the evolution of the fluid once we know its initial state and the forces acting on it. This book addresses a well-known case of this question in two space dimensions. Following the pioneering ideas of M. Vishik, the authors explain in detail the optimality of a celebrated theorem of V. Yudovich in the sixties, which states that, in the vorticity formulation, the solution is unique if the initial vorticity and the acting force are bounded. In particular, the authors show that Yudovich’s theorem cannot be generalized to the L^p setting.
Detail Book of Instability and Non uniqueness for the 2D Euler Equations After M Vishik PDF
- Author : Camillo De Lellis
- Release : 13 February 2024
- Publisher : Princeton University Press
- ISBN : 9780691257532
- Genre : Mathematics
- Total Page : 148 pages
- Language : English
- PDF File Size : 12,9 Mb
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