id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-293	Galiano, Gonzalo; Gonzalez-Tabernero, Victor	Turing instability analysis of a singular cross-diffusion problem	2021	17	.pdf	application/pdf	7487	365	72	Then, for k ≥ 1 the linear problem to solve is: Find (un,k1 , un,k2 ) such that for for all χ ∈ Sh 1 τ ( un,k1 − un−1 1 , χ)h + ( dδ11(un,k−1)∂xu n,k 1 + dδ12(un,k−1)∂xu n,k 2 , ∂xχ )h = ( un,k1 (αb1 − βb11u n,k−1 1 − βb12u n,k−1 2 ), χ)h, 1 τ ( un,k2 − un−1 2 , χ)h + ( dδ21(un,k−1)∂xu n,k 1 + dδ22(un,k−1)∂xu n,k 2 , ∂xχ )h = ( un,k2 (αb2 − βb21u n,k−1 1 − βb22u n,k−1 2 )χ)h. − k2 tr(Dδ(u∗))	cache/ejde-293.pdf	txt/ejde-293.txt