4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.AP2016★ 1 cited
On the generalized porous medium equation in Fourier-Besov spaces
Weiliang Xiao, Xuhuan Zhou
We study a kind of generalized porous medium equation with fractional Laplacian and abstract pressure term. For a large class of equations corresponding to the form: $u_t+νΛ^βu=\na…
math.AP2016★ 4 cited
Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces
Xuhuan Zhou, Weiliang Xiao
The nonnegative solution for a linear degenerate diffusion transport eqution is proved. As a result, we show the existence and uniqueness of the solution for the fractional porous…