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On the Concept of Very Weak L 2 Solutions to Euler's Equations

✍ Scribed by Bellout, Hamid; Cornea, Emil; Necas, Jindrich

Book ID
118200878
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
183 KB
Volume
33
Category
Article
ISSN
0036-1410

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πŸ“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)
✍ 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

On the nonuniqueness of weak solution of
On the nonuniqueness of weak solution of the Euler equation
✍ A. Shnirelman πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 269 KB πŸ‘ 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