Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term

TL;DR

This paper proves the global well-posedness of the Gross-Pitaevskii equation with an angular momentum term in two-dimensional space, ensuring solutions exist, are unique, and depend continuously on initial data.

Contribution

It extends the mathematical understanding of the Gross-Pitaevskii equation by including rotational effects and establishing global well-posedness in 2D.

Findings

Proves global existence of solutions

Establishes uniqueness and continuous dependence

Handles rotational angular momentum term in 2D

Abstract

In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.