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

TL;DR

This paper proves the global well-posedness of the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions, providing mathematical assurance of solution existence and uniqueness under specific conditions.

Contribution

It establishes the global well-posedness for the Gross-Pitaevskii equation with rotational effects in three dimensions, a case not previously rigorously analyzed.

Findings

Proved global existence of solutions.

Ensured uniqueness of solutions.

Analyzed effects of rotational terms.

Abstract

In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space $\Real^3$.