arXiv Open Access 2019

On a damped Szego equation (with an appendix in collaboration with Christian Klein)

Patrick Gerard Sandrine Grellier

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Abstrak

We investigate how damping the lowest Fourier mode modifies the dynamics of the cubic Szeg{ö} equation. We show that there is a nonempty open subset of initial data generating trajec-tories with high Sobolev norms tending to infinity. In addition, we give a complete picture of this phenomenon on a reduced phase space of dimension 6. An appendix is devoted to numerical simulations supporting the generalisation of this picture to more general initial data.

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math.AP math.CA

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Patrick Gerard

Sandrine Grellier

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APA MLA BibTeX

Gerard, P., Grellier, S. (2019). On a damped Szego equation (with an appendix in collaboration with Christian Klein). https://arxiv.org/abs/1912.10933

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Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓