Tuesday, May 9, 2023 - 16:10 in V5-148 + Zoom
On a class of nonlocal elliptic reaction-diffusion systems with gradient source terms : Analysis and numerics /
A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Maha Daoud from Casablanca
| Abstract: |
In this talk, we consider a class of nonlocal elliptic reaction-diffusion systems where the diffusion terms are governed by fractional Laplacian operators and the reaction terms depend on the gradient of the unknowns. These systems arise in a variety of applications such as, among others, Fluid dynamics and Engineering.
First, we present some existence and nonexistence results. Second, we propose a numerical scheme to approximate the solutions. Finally, we give a numerical answer to a question which naturally arises and which is, to our knowledge, open even in the case of a single equation.
Within the CRC this talk is associated to the project(s): A7 |
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