id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-122	Fan, Xiaoting; Wang, Wei	Initial layer associated with Boussinesq systems for thermosolutal convection	2022	18	.pdf	application/pdf	6929	373	83	∂tT λ In + (uλIn · ∇)TλIn = ∆TλIn +RλIn,T , (3.18) ∂tS λ In + (uλIn · ∇)SλIn = τ∆SλIn +RλIn,S , (3.19) uλIn|z=0,1 = 0, (3.20) (TλIn, S λ In)|z=0 = (1, 1), (TλIn, S λ In)|z=1 = (0, 0), (3.21) where the remainders RλIn,u, RλIn,T and RλIn,S are RλIn,u = − ∞∑ i=2 λi(λ[∂tu In,i + i∑ j=0 uIn,j · ∇uIn,i−j ] +∇pIn,i −∆uIn,i − √ Tak × uIn,i − (RTT In,i −RSSIn,i)k) + λ3uIn,1 · ∇uIn,1, RλIn,T = − ∞∑ i=2 λi ( ∂tT In,i + i∑ j=0 uIn,j · ∇T EJDE-2022/33 INITIAL LAYER ASSOCIATED WITH BOUSSINESQ SYSTEMS 13 According to (3.69), (3.72), and (4.7), I3 = − ∫ D uλa · ∇ ( (Tλe )2 2 ) dx dy dz = − ∫ D ∇ · ( uλa (Tλe )2 2 )	cache/ejde-122.pdf	txt/ejde-122.txt