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The Existence of Weak Solutions to the 2DEuler Equations with Initial Vorticity in BMO

✍ Scribed by Xiang Rong Zhu


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
169 KB
Volume
23
Category
Article
ISSN
1439-7617

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Weak Solutions of 2-D Euler Equations wi
✍ D.H. Chae πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 415 KB

In this note we prove global in time existence of weak solutions of 2-D Euler equations for incompressible fluid flows in the whole plane of \(R^{2}\) when the initial vorticity is in the Zygmund class \(L(\log L)\). The solution is constructed by a vanishing viscosity limit of the sequence of solut