D. Stan

activity

20132018

most citedThe Fisher-KPP equation with nonlinear fractional diffusion

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2018

Porous medium equation with nonlocal pressure

Diana Stan, Félix del Teso, Juan Luis Vázquez

We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation $u_{t} = \nabla \cdot (u^{m - 1} \nabla (- Δ)^{- s} u)$ , which describes a flow thr…

math.AP2015

Finite and infinite speed of propagation for porous medium equations with nonlocal pressure

Diana Stan, Félix del Teso, Juan Luis Vázquez

We study a porous medium equation with fractional potential pressure: $\partial_{t} u = \nabla \cdot (u^{m - 1} \nabla p), p = (- Δ)^{- s} u,$ for $m > 1$ , $0 < s < 1$ and $u (x, t) \geq 0$ .…

math.AP2013★ 2 cited

The Fisher-KPP equation with nonlinear fractional diffusion

Diana Stan, Juan Luis Vázquez

We study the propagation properties of nonnegative and bounded solutions of the class of reaction-diffusion equations with nonlinear fractional diffusion: $u_{t} + (-Δ)^s (u^m)=f(u…