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DISPERSION OF MAGNETIC CORIOLIS WAVES

  • Niklas Knobel
  • Zhuoya Yao
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Abstract

We consider the 3-D rotating magnetohydrodynamic (MHD) equations. The combination of rotation and background magnetic field leads to the occurrence of dispersive magneto-Coriolis waves in the linearized equations. We establish a t ^{-1} decay estimate for waves with dispersion relation σ(ξ) = ξ \_3 h(|ξ|) under suitable assumptions on h, and show that this includes magneto-Coriolis waves. Then we apply these dispersive estimates to the nonlinear rotating MHD equations and obtain an improved lower bound on the lifespan of solutions.

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Cite

BibTeXRIS
BibTeX
@misc{knobel2026dispersion,
  title = {{DISPERSION OF MAGNETIC CORIOLIS WAVES}},
  author = {Niklas Knobel and Zhuoya Yao},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2611.06200},
  eprint = {2611.06200},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05847495v1},
}
RIS
TY  - UNPB
TI  - DISPERSION OF MAGNETIC CORIOLIS WAVES
AU  - Niklas Knobel
AU  - Zhuoya Yao
PY  - 2026
DA  - 2026/10/30
PB  - HAL
DO  - 10.48550/arxiv.2611.06200
UR  - https://hal.science/hal-05847495v1
AB  - We consider the 3-D rotating magnetohydrodynamic (MHD) equations. The combination of rotation and background magnetic field leads to the occurrence of dispersive magneto-Coriolis waves in the linearized equations. We establish a t ^{-1} decay estimate for waves with dispersion relation σ(ξ) = ξ \_3 h(|ξ|) under suitable assumptions on h, and show that this includes magneto-Coriolis waves. Then we apply these dispersive estimates to the nonlinear rotating MHD equations and obtain an improved lower bound on the lifespan of solutions.
ER  -