Pith. sign in

REVIEW 1 cited by

Stationary and discontinuous weak solutions of the Navier-Stokes equations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 1901.07485 v5 pith:LFPFVXQ5 submitted 2019-01-22 math.AP

Alexey Cheskidov , Xiaoyutao Luo This is my paper · ORCID
classification math.AP
keywords stationarysolutionsweakdiscontinuousenergyequationsnavier-stokesprove
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We prove that there exists a nontrivial finite energy periodic stationary weak solution to the 3D Navier-Stokes equations (NSE). The construction relies on a convex integration scheme utilizing new stationary building blocks designed specifically for the NSE. The constructed family of approximate stationary solutions is also used to prove the existence of weak solutions of the NSE with energy profiles discontinuous on a dense set of positive Lebesgue measure.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-uniqueness of weak solutions to 2D hypoviscous Navier-Stokes equations

    math.AP 2019-08 accept novelty 6.0 of 10

    Every 2D hypoviscous Navier-Stokes system with fractional Laplacian exponent theta below 1 admits nonunique C^0_t L^2_x weak solutions, including solutions with compact temporal support.

Pith tools