Pith. sign in

REVIEW

Global small solutions to the inviscid Hall-MHD system

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 2106.10501 v1 pith:57APAGM2 submitted 2021-06-19 math.AP

Xiaoping Zhai , Yongsheng Li , Yajuan Zhao This is my paper · ORCID
classification math.AP
keywords hall-mhdinviscidsolutionssystemfieldglobalmagneticsmall
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

The local existence of smooth solutions to the inviscid Hall-MHD system has been obtained since Chae, Degond and Liu [Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire, {31} (2014), 555--565]. However, as we known, how to construct the global small solutions to the inviscid Hall-MHD system is still an open problem. In the present paper, we give a positive answer in $ \mathbb{T}^3$ when the initial magnetic field is close to a background magnetic field satisfying the Diophantine condition.

Discussion (0). Continue with ORCID to comment.

Pith tools