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- W2916421045 abstract "This paper deals with the blow-up phenomena for the following porous medium equation systems with nonlinear boundary conditions ut=Δum+k1(t)f1(v),vt=Δvn+k2(t)f2(u)inΩ×(0,t∗),∂u∂ν=g1(u),∂v∂ν=g2(v)on∂Ω×(0,t∗),u(x,0)=u0(x)≥0,v(x,0)=v0(x)≥0inΩ¯, where m,n>1, Ω⊂RN(N≥2) is bounded convex domain with smooth boundary. Using a differential inequality technique and a Sobolev inequality, we prove that under certain conditions on data, the solution blows up in finite time. We also derive an upper and a lower bound for blow-up time. In addition, as applications of the abstract results obtained in this paper, an example is given." @default.
- W2916421045 created "2019-03-02" @default.
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- W2916421045 date "2019-06-01" @default.
- W2916421045 modified "2023-10-12" @default.
- W2916421045 title "Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions" @default.
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- W2916421045 doi "https://doi.org/10.1016/j.camwa.2019.02.007" @default.
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