Projects per year
Abstract
We survey some recent results related to free boundary problems of incompressible ideal magnetohydrodynamics equations, and present the main ideas in the proofs of the ill-posedness in 2D when the Taylor sign condition is violated given [1], and the well-posedness of a linearized problem given in [2] in general n-dimensions (n ≥ 2) when the Taylor sign condition is satisfied and the free boundaries are closed.
| Original language | English |
|---|---|
| Pages (from-to) | 404-424 |
| Journal | Electronic Research Archive |
| Volume | 30 |
| Issue number | 2 |
| Online published | 18 Jan 2022 |
| DOIs | |
| Publication status | Published - 2022 |
Funding
Hao was supported by National Natural Science Foundation of China (Grants No.: 12171460 and 11671384) and K. C. Wong Education Foundation. Luo was supported by a grant from the Research Grants Council of Hong Kong (Project No. 11307420).
Research Keywords
- Free boundary problems
- Ill-posedness
- Incompressible ideal magnetohydrodynamics equations
- Linearized problem
- Well-posedness
Publisher's Copyright Statement
- This full text is made available under CC-BY 4.0. https://creativecommons.org/licenses/by/4.0/
RGC Funding Information
- RGC-funded
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Dive into the research topics of 'Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Long Time Well-Posedness and Dynamics for the Plasma-Vacuum Interface Problem in Magnetohydrodynamics (MHD) Nonlinear Partial Differential Equations.
LUO, T. (Principal Investigator / Project Coordinator)
1/12/20 → 23/05/25
Project: Research
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