JournalszaaVol. 37, No. 1pp. 73–82

Global Well-Posedness for the Gross–Pitaevskii Equation with Pumping and Nonlinear Damping

  • Binhua Feng

    Northwest Normal University, Lanzhou, Gansu, China

  • Xiangxia Yuan

    Northwest Normal University, Lanzhou, Gansu, China

  • Jun Zheng

    Southwest Jiatong University, Emeishan, Sichuan, China
Global Well-Posedness for the Gross–Pitaevskii Equation with Pumping and Nonlinear Damping cover
Download PDF

Abstract

This paper deals with the Cauchy problem for the Gross{Pitaevskii equation with pumping and nonlinear damping which describes the dynamics of pumped decaying Bose–Einstein condensates. This paper establishes global existence of solutions for general initial data in the energy space.

Cite this article

Binhua Feng, Xiangxia Yuan, Jun Zheng, Global Well-Posedness for the Gross–Pitaevskii Equation with Pumping and Nonlinear Damping. Z. Anal. Anwend. 37 (2018), no. 1, pp. 73–82

DOI 10.4171/ZAA/1603