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Global well-posedness of the MHD equations via the comparison principle
- Source :
- Science China Mathematics. 61:2111-2120
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain $R^k\times T^{d-k}, d\geq2,k\geq1$ by using the comparison principle and constructing the comparison function.<br />Submit to a special issue in Science China Math
- Subjects :
- General Mathematics
010102 general mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Function (mathematics)
01 natural sciences
Domain (mathematical analysis)
010101 applied mathematics
Mathematics - Analysis of PDEs
Mathematics::Probability
Homogeneous
FOS: Mathematics
Compressibility
0101 mathematics
Magnetohydrodynamics
Well posedness
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- ISSN :
- 18691862 and 16747283
- Volume :
- 61
- Database :
- OpenAIRE
- Journal :
- Science China Mathematics
- Accession number :
- edsair.doi.dedup.....4813ebc07f38264fcdbb30bed7400017