Special Session 185: Multiscale Analysis: Geometry and Evolution Problems (mSPACE)

Bi-Continuous semigroups for flows on infinite networks
Christian Budde
University of the Free State
So Africa
Co-Author(s):    Marjeta Kramar Fijavz
Abstract:
In this talk we investigate transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the $\mathrm{L}^\infty$-setting. We apply the theory of bi-continuous operator semigroups to obtain well-posedness of the problem under different assumptions on the velocities and for general stochastic matrices appearing in the boundary conditions. This is joint work with Marjeta Kramar Fijavz (Ljubljana, Slovenia).