Abstract
We consider weak stationary solutions to the incompressible Euler equations
and show that the analogue of the h-principle obtained by the second author in joint work with C. De Lellis for time-dependent weak solutions in L∞ continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation is strictly smaller than what one obtains in the time-dependent case.
and show that the analogue of the h-principle obtained by the second author in joint work with C. De Lellis for time-dependent weak solutions in L∞ continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation is strictly smaller than what one obtains in the time-dependent case.
| Original language | English |
|---|---|
| Pages (from-to) | 4060-4074 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 46 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2014 |