Asymptotic behaviour for fractional diffusion-convention equations


Tuesday, November 14th, 2017
11:30-13:00, TIMON Room at DeustoTech

Liviu Ignat

University of Bucharest (Bucharest, Romania)

Abstract:
In this talk we analyze the long time behaviour of the solutions of a fractional diffusion-convection equation.
$$
u_{t}(t,x) + (-\Delta)^{\alpha/2}u(t,x)+(f(u))_x=0, \quad t>0,\quad x\in \mathbb{R},
$$
where $\alpha \in (0,2)$ and $f(s)=|s|^{q-1}s/q$ with $q>1$.

Joint work with Diana Stan.