Non-unique stationary solutions of forced SQG
Analysis of PDEs
2023-02-08 v1
Abstract
We show the existence of non-unique stationary weak solutions for forced surface quasi-geostrophic (SQG) equation via a convex integration scheme. The scheme is implemented for the sum-difference system of two distinct solutions. Through this scheme, one observes the external forcing is naturally generated accompanying the flexibility in means of lack of uniqueness. It thus provides a transparent way to reveal the flexibility of the system with the presence of a forcing.
Keywords
Cite
@article{arxiv.2302.03283,
title = {Non-unique stationary solutions of forced SQG},
author = {Mimi Dai and Qirui Peng},
journal= {arXiv preprint arXiv:2302.03283},
year = {2023}
}