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- W4283817668 abstract "The degenerate parabolic systems dealt with in this paper are as follows: {∂y(u)∂t=∇⋅(|∇u|r∇u)+f(u,v,|∇u|2,t),∂z(v)∂t=∇⋅(|∇v|s∇v)+g(u,v,|∇v|2,t),x∈Ω,t∈(0,t∗),∂u∂ν=0,∂v∂ν=0,x∈∂Ω,t∈(0,t∗),u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω¯, where r and s are two positive constants, spatial region Ω⊂RN (N≥2) is bounded, and ∂Ω is smooth. The conditions that make the solution (u,v) blow up at a certain finite time t∗ are obtained. An upper bound of t∗ and an upper estimate of the blow-up rate of (u,v) are also derived." @default.
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- W4283817668 date "2022-07-04" @default.
- W4283817668 modified "2023-10-05" @default.
- W4283817668 title "Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions" @default.
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- W4283817668 doi "https://doi.org/10.1080/00036811.2022.2096598" @default.
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