| Abstract: |
| The Gross-Pitaevskii equation admits small speed travelling wave solutions behaving like two well-separated vortices. We show that this solution is orbitally stable for the natural metric of the energy space. The proof is based on two main ingredients : a nonlinear coercivity result for small perturbations of the travelling waves, which generalizes a similar result for a single vortex, as well as a new formulation of the momentum using the coaera formula.
This is a joint work with Philippe Gravejat and Frederic Valet |
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