# Point vortices for inviscid generalized surface quasi-geostrophic models

## TL;DR

This paper rigorously proves that point vortices accurately represent the dynamics of a class of inviscid generalized surface quasi-geostrophic models on the entire plane, validating a simplified model for complex fluid flows.

## Contribution

It provides a rigorous mathematical proof confirming the validity of the point vortex approximation for these models.

## Key findings

- Point vortex description is valid for the class of models studied.
- The proof applies to the whole plane setting.
- This work solidifies the theoretical foundation of point vortex models.

## Abstract

We give a rigorous proof of the validity of the point vortex description for a class of inviscid generalized surface quasi-geostrophic models on the whole plane.