Showing 2025Show all
3 papers · 1 filter
math.AP2025
Dynamics of the reversible Gray-Scott model and convergence to its irreversible limit
Philippe Laurençot, Christoph Walker
Well-posedness of a reversible variant of the Gray-Scott model is shown, along with the convergence of each trajectory to one of the two spatially homogeneous steady states. The pr…
math.AP2025
Recovering Initial States in Certain Quasilinear Parabolic Problems from Time Averages
Bogdan-Vasile Matioc, Christoph Walker
The inverse problem of reconstructing the initial state in quasilinear parabolic equations from time averages is investigated. Under suitable regularity assumptions on the quasilin…
math.AP2025
A potential theory approach to the capillarity-driven Hele-Shaw problem
Bogdan-Vasile Matioc, Christoph Walker
In this paper, we demonstrate that potential theory provides a powerful framework for analyzing quasistationary fluid flows in bounded geometries, where the bulk dynamics are gover…