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Uniformly LocalLpEstimate for 2-D Vorticity Equation and Its Application to Euler Equations with Initial Vorticity in bmo

โœ Scribed by Yasushi Taniuchi


Publisher
Springer
Year
2004
Tongue
English
Weight
210 KB
Volume
248
Category
Article
ISSN
0010-3616

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Weak Solutions of 2-D Euler Equations wi
โœ D.H. Chae ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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