id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1521	Song, Xiao; Wang, Chenhua; Wang, Xiaojie; Xu, Fuyi	Global unique solution for 3D incompressible inhomogeneous magneto-micropolar equations with discontinuous density	2025	29	.pdf	application/pdf	13496	603	81	[Dt; curl]DtujDtwj dx. (3.38) 14 X. SONG, C. WANG, X. WANG, F. XU EJDE-2025/58 Multiplying (??) by t2 and then integrating over [0, t] give rise to 2∥t∇Dt(ωj , Hj)∥2L∞ t (L2) + 2∥tdivDtωj∥2L∞ t (L2) + ∥t(√ρD2 t uj , √ ρD2 tωj , D 2 tHj)∥2L2 t (L 2) + ∥t∇Dtuj∥2L∞ t (L2) + ∥tdivDtuj∥2L∞ t (L2) + ∥t(curlDtuj − 2Dtwj)∥2L∞ t (L2) ≲ ∥ √ t∇Dt(uj , ωj , Hj)∥2L2 t (L 2) + ∥ √ tdivDtωj , Dtωj∥2L2 t (L 2) + ∫ t 0 τ2 ∫ R3 ∇DtπjD 2 t uj dx dτ + ∫ t 0 τ2 ∫ R3 ∇DtHj · [Dt;∇]DtHj dx dτ + ∫ t 0 τ2 ∫ R3 ∇Dtuj ·	cache/ejde-1521.pdf	txt/ejde-1521.txt