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PDE Real Analysis Seminar
Seminar information archive ～04/30｜Next seminar｜Future seminars 05/01～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|
2019/06/18
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Piotr Rybka (University of Warsaw)
Ways to treat a diffusion problem with the fractional Caputo derivative
Piotr Rybka (University of Warsaw)
Ways to treat a diffusion problem with the fractional Caputo derivative
[ Abstract ]
The problem
\[
u_t = (D^\alpha u)_x + f
\]
augmented with initial and boundary data appear in model of subsurface flows. Here, $D^\alpha u$ denotes the fractional Caputo derivative of order $\alpha \in (0,1)$.
We offer three approaches:
1) from the point of view of semigroups;
2) from the point of view of the theory of viscosity solutions;
3) from the point of view of numerical simulations.
This is a joint work with T. Namba, K. Ryszewska, V. Voller.
The problem
\[
u_t = (D^\alpha u)_x + f
\]
augmented with initial and boundary data appear in model of subsurface flows. Here, $D^\alpha u$ denotes the fractional Caputo derivative of order $\alpha \in (0,1)$.
We offer three approaches:
1) from the point of view of semigroups;
2) from the point of view of the theory of viscosity solutions;
3) from the point of view of numerical simulations.
This is a joint work with T. Namba, K. Ryszewska, V. Voller.
