7 citations · 15 across the 9 of their papers we have counts for
12 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…
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…
Attractors for Singular-Degenerate Porous Medium Type Equations Arising in Models for Biofilm Growth
Zehra Şen, 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…
Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth
R. K. H. Smeets, K. Mitra, I. S. Pop +1
We propose and analyse numerical schemes for a system of quasilinear, degenerate evolution equations modelling biofilm growth as well as other processes such as flow through porous…
Cauchy problem for singular-degenerate porous medium type equations: well-posedness and Sobolev regularity
Nick Lindemulder, Stefanie Sonner
Motivated by models for biofilm growth, we consider Cauchy problems for quasilinear reaction diffusion equations where the diffusion coefficient has a porous medium type degeneracy…