REVIEW 1 cited by
Quasi-stationary solutions of the surface quasi-geostrophic equation
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
abstract
In the present study, we find that the surface quasi-geostrophic equation admits exact solutions, which evolve with time in quasi-stationary states. The solutions presented are available for any dissipation effect $\kappa (-\Delta)^\alpha$ ($\kappa >0$, $0\le \alpha <1$), involved in the equation. When the equation is supercritical ($0\le \alpha <\frac12$), the problem on the existence of large global regular solutions remains open. This study, however, provides explicit sample solutions for the understanding of the uncertain problem.
Forward citations
Cited by 1 Pith paper
-
Neutral curves and traveling waves in plane Poiseuille flow
Rigorous proof that the lower and upper neutral branches of plane Poiseuille flow obey ν ~ α^7 and ν ~ α^11, with simple eigenvalues and transversal crossing, yielding traveling-wave bifurcation.
Discussion (0). Continue with ORCID to comment.