Displaying similar documents to “Blowup for degenerate and singular parabolic system with nonlocal source.”

The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation

Jiaqing Pan (2011)

Open Mathematics

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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.

Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system

Yujuan Chen (2010)

Czechoslovak Mathematical Journal

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The paper deals with positive solutions of a nonlocal and degenerate quasilinear parabolic system not in divergence form u t = v p Δ u + a ∫ Ω u d x , v t = u q Δ v + b ∫ Ω v d x with null Dirichlet boundary conditions. By using the standard approximation method, we first give a series of fine a priori estimates for the solution of the corresponding approximate problem. Then using the diagonal method, we get the local existence and the bounds of the solution ( u , v ) to this problem. Moreover, a necessary and sufficient condition for the non-global...