Local wellposedness of an approximate equation for SQG fronts

John K. Hunter; Jingyang Shu; Qingtian Zhang

doi:10.1007/s00021-018-0396-z

Local wellposedness of an approximate equation for SQG fronts

Analysis of PDEs 2018-09-26 v2

Authors: John K. Hunter , Jingyang Shu , Qingtian Zhang

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Abstract

We prove local well-posedness in the Sobolev spaces $\dot H^s(\mathbb{T})$ , with $s>7/2$ , for an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic (SQG) fronts with small slopes.

Keywords

local well-posedness sqg fronts nonlocal dispersive equation sobolev spaces cubically nonlinear

Cite

@article{arxiv.1801.02718,
  title  = {Local wellposedness of an approximate equation for SQG fronts},
  author = {John K. Hunter and Jingyang Shu and Qingtian Zhang},
  journal= {arXiv preprint arXiv:1801.02718},
  year   = {2018}
}

Comments

18 pages, 1 figure

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