id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-1437	Chiyo, Yutaro; Uemura, Takeshi; Yokota, Tomomi	Finite-time blow-up in a quasilinear fully parabolic attraction-repulsion chemotaxis system with density-dependent sensitivity	2025	10	.pdf	application/pdf	4697	238	82	To see this we define the set S(M,M̃,B, κ) := { (u, z) ∈ C1(Ω)× C2(Ω) : u, z are radially symmetric, u is positive,∫ Ω u = M, ∫ Ω |z| ≤ M̃, ∂z ∂ν = 0 on ∂Ω, |z(x)| ≤ B|x|−κ∀x ∈ Ω } for constants M,M̃,B > 0 and κ satisfying κ = 2 when n = 2, and κ > 1 when n = 3. = v0, w(·, 0) = w0, x ∈ Ω, (1.1) where Ω = BR ⊂ Rn (n ∈ {2, 3}) is the open ball centered at the origin with radius R > 0; ν is the outward normal vector to ∂Ω; m, p ∈ R, χ, ξ, α, β, γ, δ > 0 are constants; u, v, w are unknown functions; u0, v0, w0 represent the initial data satisfying u0 ∈ C0(Ω), v0 ∈ W 1,∞(Ω), w0 ∈ W 1,∞(Ω), u0, v0, w0 > 0 in Ω. Both boundedness and blow-up of solutions are known as major topics in mathematical studies on chemotaxis systems.	cache/ejde-1437.pdf	txt/ejde-1437.txt