Establishes local well-posedness for the 2½D EMHD system with fractional dissipations α and β satisfying α+β>2 for initial data in H^{s+1}×H^s with s≥2-ε.
Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion.J
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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The 3D stochastic EMHD system with fractional dissipation admits local pathwise well-posedness and maximal pathwise solutions via high-order Sobolev estimates and stochastic compactness.
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Local well-posedness for the two-and-a-half-dimensional EMHD system with split fractional dissipation
Establishes local well-posedness for the 2½D EMHD system with fractional dissipations α and β satisfying α+β>2 for initial data in H^{s+1}×H^s with s≥2-ε.
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The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions
The 3D stochastic EMHD system with fractional dissipation admits local pathwise well-posedness and maximal pathwise solutions via high-order Sobolev estimates and stochastic compactness.