an:06380816
Zbl 1304.35521
Kiselev, Alexander; ??ver??k, Vladimir
Small scale creation for solutions of the incompressible two-dimensional Euler equation
EN
Ann. Math. (2) 180, No. 3, 1205-1220 (2014).
00339221
2014
j
35Q31
double exponential growth; hyperbolic flow; small scale creation; two-dimensional incompressible flow; vorticity gradient growth
The purpose of this article is to construct a two-dimensional Euler equation on the unit disc with smooth initial data, such that the solution has gradient of double exponential growth. The proofs use, among other methods, the Biot-Savart law, and the Green function.
Thomas Ernst (Uppsala)