4 papers
A panoramic view of exponential attractors
Radoslaw Czaja, Stefanie Sonner
We state necessary and sufficient conditions for the existence of -discrete exponential attractors for semigroups in complete metric spaces. These conditions are formulated in t…
Attractors for Singular-Degenerate Porous Medium Type Equations Arising in Models for Biofilm Growth
Zehra Åen, Stefanie Sonner
We investigate the long-time behaviour of solutions of a class of singular-degenerate porous medium type equations in bounded domains with homogeneous Dirichlet boundary conditions…
Mathematical models for the EP2 and EP4 signaling pathways and their crosstalk
Alessandra Cambi, Diane S Lidke, Mariya Ptashnyk +2
The G-protein coupled receptors EP2 and EP4 both transduce the signal of the lipid messenger Prostaglandin E2 (PGE2). Changes in the cell response to PGE2 can have important effect…
Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
Alexandra Blessing, Tim Seitz, Stefanie Sonner +1
We investigate stochastic parabolic evolution equations with time-dependent random generators and locally Lipschitz continuous drift terms. Using pathwise mild solutions, we constr…