We prove that for the 3D MHD equations with hyper-dissipations （-△）^α （ 1 〈 α 〈 5/4） the Hausdorff dimension of singular set at the first blowing up time is at most 5 - 4α, by means of physical and frequency...We prove that for the 3D MHD equations with hyper-dissipations （-△）^α （ 1 〈 α 〈 5/4） the Hausdorff dimension of singular set at the first blowing up time is at most 5 - 4α, by means of physical and frequency localization, Bony＇s paraproduct and Littlewood-Paley theory.展开更多
基金supported by National Natural Science Foundation of China(Grant No.11101405)the President Fund of UCAS
文摘We prove that for the 3D MHD equations with hyper-dissipations （-△）^α （ 1 〈 α 〈 5/4） the Hausdorff dimension of singular set at the first blowing up time is at most 5 - 4α, by means of physical and frequency localization, Bony＇s paraproduct and Littlewood-Paley theory.
