On the Well-Posedness of Two Driven-Damped Gross–Pitaevskii-Type Models for Exciton-Polariton Condensates

IF 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations Pub Date : 2024-05-15 DOI:10.1007/s10884-024-10359-6

Jakob Möller, Jesus Sierra

引用次数: 0

Abstract

We study the well-posedness of two systems modeling the non-equilibrium dynamics of pumped decaying Bose–Einstein condensates. In particular, we present the local theory for rough initial data using the Fourier restricted norm method introduced by Bourgain. We extend the result globally for initial data in \(L^{2}\).

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关于激子-极坐标凝聚态的两种驱动-阻尼格罗斯-皮塔耶夫斯基模型的拟合优度

我们研究了两个模拟抽运衰变玻色-爱因斯坦凝聚体非平衡态动力学的系统的好拟性。特别是，我们使用布尔甘（Bourgain）引入的傅立叶限制规范法，提出了粗糙初始数据的局部理论。我们将这一结果扩展到了\(L^{2}\)中初始数据的全局。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.