Stationary homogeneous solutions for the inviscid SQG equation

Miguel M. G. Pascual-Caballo

Stationary homogeneous solutions for the inviscid SQG equation

Analysis of PDEs 2025-10-06 v1

Authors: Miguel M. G. Pascual-Caballo

Abstract

In this paper, we prove existence of stationary nontrivial homogeneous solutions for SQG equation with infinite energy (unbounded at the infinity). Our analysis also covers the existence of stationary solutions for generalized De Gregorio equation $w_t+\alpha uw_x=u_xw,\ u_x=Hw$ with $\alpha>\frac{1}{2}.$

Keywords

SQG equation stationary solutions homogeneous solutions De Gregorio equation infinite energy

Cite

@article{arxiv.2510.03108,
  title  = {Stationary homogeneous solutions for the inviscid SQG equation},
  author = {Miguel M. G. Pascual-Caballo},
  journal= {arXiv preprint arXiv:2510.03108},
  year   = {2025}
}

Comments

27 pages, 1 figure

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