34 citations · 210 across the 52 of their papers we have counts for
11 papers · 1 filter
A trace theorem for spherical kinetic Sobolev spaces on -convex domains
Herbert Egger, Matthias Schlottbom
Trace theorems are an indispensable tool for the analysis of kinetic equations. They have been established in wide generality by Cessenat and co-workers for radiative transfer and…
Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization
Herbert Egger, Jan Giesselmann
We study a doubly nonlinear parabolic problem arising in the modeling of gas transport in pipelines. Using convexity arguments and relative entropy estimates we show uniform bounds…
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Timileyin David Oyedeji +2
A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by…
Stability and asymptotic analysis for instationary gas transport via relative energy estimates
Herbert Egger, Jan Giesselmann
We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated a…
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…
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms
Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
We consider the identification of nonlinear diffusion coefficients of the form or in quasi-linear parabolic and elliptic equations. Uniqueness for this inverse prob…