English

Complex analytic solutions for the TQG model

Analysis of PDEs 2024-11-12 v2 Complex Variables

Abstract

We present a condition under which the thermal quasi-geostrophic (TQG) model possesses a solution that is holomorphic in time with values in the Gevrey space of complex analytic functions. This can be seen as the complex extension of the work by Levermore and Oliver (1997) for the generalized Euler equation but applied to the TQG model.

Cite

@article{arxiv.2405.00575,
  title  = {Complex analytic solutions for the TQG model},
  author = {Prince Romeo Mensah},
  journal= {arXiv preprint arXiv:2405.00575},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T16:12:51.595Z