REVIEW 2 cited by
Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$
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
read the original abstract
In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is motivated by the works [Merle, Rapha\"{e}l, Rodnianski, and Szeftel, Ann. of Math., 196(2):567-778, 2022, Ann. of Math., 196(2):779-889, 2022], [Buckmaster, Cao-Labora, and G\'{o}mez-Serrano, arXiv:2208.09445, 2022], but is flexible enough to handle both periodic and non-radial initial data.
Forward citations
Cited by 2 Pith papers
-
Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases
For gamma = 5/3, corresponding to a monatomic gas, there exist smooth initial data for which the 3-D compressible Navier-Stokes equations blow up in finite time in a self-similar implosion.
-
Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler
For every integer n>=1, smooth 1D Euler data can form a pre-shock cusp with Holder exponent 1/(2n+1), and the set of such data is a codimension-(2n-2) Banach manifold in W^{2n+2,infinity}.
Discussion (0). Continue with ORCID to comment.