Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions

@article{Gustafson2007GlobalDS,
  title={Global Dispersive Solutions for the Gross–Pitaevskii Equation in Two and Three Dimensions},
  author={S. Gustafson and K. Nakanishi and Tai-Peng Tsai},
  journal={Annales Henri Poincar{\'e}},
  year={2007},
  volume={8},
  pages={1303-1331}
}
Abstract.We study asymptotic behaviour at time infinity of solutions close to the non-zero constant equilibrium for the Gross–Pitaevskii equation in two and three spatial dimensions. We construct a class of global solutions with prescribed dispersive asymptotic behavior, which is given in terms of the linearized evolution. 
52 Citations

Figures from this paper

Small data global solutions for the Camassa-Choi equations
  • 4
  • PDF
The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution
  • 51
  • PDF
Global solutions for 2D quadratic Schrödinger equations
  • 69
Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity
  • Yuexun Wang
  • Mathematics, Physics
  • 2020
  • PDF
GLOBAL SOLUTIONS FOR 3D QUADRATIC SCHRÖDINGER EQUATIONS
  • P. GERAMAIN
  • 2008
  • 12
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 41 REFERENCES
Asymptotics for the travelling waves in the Gross-Pitaevskii equation
  • 26
The Cauchy problem for the Gross-Pitaevskii equation
  • 95
  • Highly Influential
  • PDF
Travelling Waves for the Gross-Pitaevskii Equation II
  • 122
  • Highly Influential
  • PDF
Vortices and Sound Waves for the Gross-Pitaevskii Equation
  • 11
Effective dynamics of magnetic vortices
  • 37
  • PDF
...
1
2
3
4
5
...