arXiv:1910.14071math.AP
On the Stability of Self-similar Blow-up for $C^{1,α}$ Solutions to the Incompressible Euler Equations on $\mathbb{R}^3$
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
We study the stability of recently constructed self-similar blow-up solutions to the incompressible Euler equation. A consequence of our work is the existence of finite-energy $C^{1,α}$ solutions that become singular in finite time in a locally self-similar manner. As a corollary, we also observe that the Beale-Kato-Majda criterion cannot be improved in the class of $C^{1,α}$ solutions.
> They should be able to describe the motion of any fluid under any circumstances — and for more than two centuries, they have. The Euler equations neglect viscosity. > They also assume that fluids are “incompressible,” meaning that under the rules of the Euler equations, you…
fluffythingView on HNParent context