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On the nonuniqueness of weak solution of the Euler equation

✍ Scribed by A. Shnirelman

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
269 KB
Volume
50
Category
Article
ISSN
0010-3640

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✦ Synopsis

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 outside a finite time interval. This example is simpler and more transparent than the previous example of V.

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