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PreprintCC BY 4.0arXiv

Stability of inverse cascade in NLS Wave turbulence

  • Guillaume Costa
  • Sergey Nazarenko
  • Giorgio Krstulovic
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Abstract

We study the stability of the inverse cascade in the 3D Nonlinear Schrodinger Wave Kinetic Equation (WKE) in the presence and absence of a condensate. Using theoretical arguments supported by numerical simulation, we show that, the Kolmogorov-Zakharov solution is stable with respect to small isotropic perturbations in the absence of a condensate. Conversely, introducing a condensate component leads to a growth of the condensate occupation and ultimately destabilizes the inverse cascade. The system then evolves towards a new steady-state whose properties depend on the condensate dissipation rate.

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Cite

BibTeXRIS
BibTeX
@misc{costa2026stability,
  title = {{Stability of inverse cascade in NLS Wave turbulence}},
  author = {Guillaume Costa and Sergey Nazarenko and Giorgio Krstulovic},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19935},
  eprint = {2610.19935},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19935},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Stability of inverse cascade in NLS Wave turbulence
AU  - Guillaume Costa
AU  - Sergey Nazarenko
AU  - Giorgio Krstulovic
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.19935
UR  - https://arxiv.org/abs/2610.19935
AB  - We study the stability of the inverse cascade in the 3D Nonlinear Schrodinger Wave Kinetic Equation (WKE) in the presence and absence of a condensate. Using theoretical arguments supported by numerical simulation, we show that, the Kolmogorov-Zakharov solution is stable with respect to small isotropic perturbations in the absence of a condensate. Conversely, introducing a condensate component leads to a growth of the condensate occupation and ultimately destabilizes the inverse cascade. The system then evolves towards a new steady-state whose properties depend on the condensate dissipation rate.
ER  -