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PreprintarXiv licencearXiv

The estimate of lifespan for ideal incompressible MHD systems

  • Mengni Li
  • Hongwei Yuan
Open at sourcePDFDOICite

Abstract

This paper concerns the lifespan estimate for three-dimensional ideal incompressible MHD systems. By introducing L3/2-type energy, we lower the regularity assumption for the initial data as well as the order of the highest derivatives involved in the total weighted energy estimate. The new weights proposed in this paper are symmetric, unified, and compatible with both L2-type energy and L3/2-type energy.

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Cite

BibTeXRIS
BibTeX
@misc{li2026estimate,
  title = {{The estimate of lifespan for ideal incompressible MHD systems}},
  author = {Mengni Li and Hongwei Yuan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39137},
  eprint = {2610.39137},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39137},
}
RIS
TY  - UNPB
TI  - The estimate of lifespan for ideal incompressible MHD systems
AU  - Mengni Li
AU  - Hongwei Yuan
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39137
UR  - https://arxiv.org/abs/2610.39137
AB  - This paper concerns the lifespan estimate for three-dimensional ideal incompressible MHD systems. By introducing L^3/2-type energy, we lower the regularity assumption for the initial data as well as the order of the highest derivatives involved in the total weighted energy estimate. The new weights proposed in this paper are symmetric, unified, and compatible with both L^2-type energy and L^3/2-type energy.
ER  -