Instability and non-uniqueness for the 2D Euler equations, after M. Vishik
Dallas Albritton
Bok · Engelsk · 2024
| Medvirkende | |
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| Omfang | ix, 136 sider
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| Opplysninger | "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 conservation laws of mass and momentum under some very idealized assumptions. While they look rather 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 one well known case of the latter 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"--
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| Emner | |
| Dewey | |
| ISBN | 9780691257525. - 9780691257532
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