Singular, weak and absent: Solutions of the Euler equations
โ Scribed by Peter Constantin
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 250 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Given 0 any open and bounded subset of R n , n 4, with smooth boundary and given 7 any (n&m)-dimensional compact submanifold of 0 without boundary, n>m>2, we prove the existence of weak solutions to the problem &2u=u p in 0 { u>0 in 0 u=0 on 0, which are singular on 7, when p is a real p>mร(m&2), c