3 papers
math.NA2026
A coercive space-time variational approach to fractional diffusion problems
Herbert Egger, Marvin Fritz, Barbara Wohlmuth
We consider a fractional diffusion problem with temporal nonlocality acting on the diffusive flux. A coercive space--time variational formulation in Bochner-valued fractional Sobol…
math.OC2025
On feedback stabilisation for the Cahn-Hilliard equation and its numerical approximation
Herbert Egger, Marvin Fritz, Karl Kunisch +1
We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential s…
math.AP2024
Well-posedness, long-time behavior, and discretization of some models of nonlinear acoustics in velocity-enthalpy formulation
Herbert Egger, Marvin Fritz
We study a class of models for nonlinear acoustics, including the well-known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamic…