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Weak solutions of 2-D incompressible Euler equations

โœ Scribed by Dongho Chae

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
523 KB
Volume
23
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Weak Solutions of 2-D Euler Equations wi
Weak Solutions of 2-D Euler Equations with Initial Vorticity in L(Log L)
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

On the nonuniqueness of weak solution of
On the nonuniqueness of weak solution of the Euler equation
โœ A. Shnirelman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 269 KB ๐Ÿ‘ 2 views

Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero