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.
On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions.Annals of PDE, 8(2):15, 2022
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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.