REVIEW 1 cited by
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We consider the incompressible 2D Euler equations on bounded spatial domain $S$, and study the solution map on the Sobolev spaces $H^k(S)$ ($k > 2$). Through an elaborate geometric construction, we show that for any $T >0$, the time $T$ solution map $u_0 \mapsto u(T)$ is nowhere locally uniformly continuous and nowhere Fr\'echet differentiable.
Forward citations
Cited by 1 Pith paper
-
Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence
New DNS up to 2048^3 grid points reportedly confirm that perturbations in fully developed turbulence amplify as e^{c sqrt(Re) sqrt(t)}, which is faster than exponential, and saturate quickly.
Discussion (0). Continue with ORCID to comment.