id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-389	Kong, Huihui; Lian, Ruxu	Free boundary value problem for compressible magnetohydrodynamic equations	2020	16	.pdf	application/pdf	5310	263	84	From (4.15)2 we find that d dτ ∫ 1 0 u(ξ, τ)dξ = 0, (4.17) and without loss of generality, we can renormalize ∫ 1 0 u0(ξ)dξ to be zero, then we denote w = u− 1 1 + τ ∫ ξ 0 1 ρ dζ + 1 1 + τ ∫ 1 0 ∫ ξ 0 1 ρ dζdξ. dx+ ∫ b(t) a(t) (2µ+ ρβ)u2xdx + ν ∫ b(t) a(t) H2 xdx = 0, (3.2) which leads to (3.1) after the integrating with respect to t ∈	cache/ejde-389.pdf	txt/ejde-389.txt