1 citations · 1 across the 4 of their papers we have counts for
4 papers
A kinetic chemotaxis model and its diffusion limit in slab geometry
Herbert Egger, Kathrin Hellmuth, Nora Philippi +1
Chemotaxis describes the intricate interplay of cellular motion in response to a chemical signal. We here consider the case of slab geometry which models chemotactic motion between…
An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks
Herbert Egger, Nora Philippi
We study the numerical approximation of singularly perturbed convection-diffusion problems on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type o…
On the transport limit of singularly perturbed convection-diffusion problems on networks
Herbert Egger, Nora Philippi
We consider singularly perturbed convection-diffusion equations on one-dimensional networks (metric graphs) as well as the transport problems arising in the vanishing diffusion lim…
A hybrid discontinuous Galerkin method for transport equations on networks
Herbert Egger, Nora Philippi
We discuss the mathematical modeling and numerical discretization of transport problems on one-dimensional networks. Suitable coupling conditions are derived that guarantee conserv…