1 citations · 1 across the 7 of their papers we have counts for
7 papers
Validity of the stochastic Ginzburg-Landau approximation in higher space dimensions -A Wiener algebra approach-
Anna Logioti, Guido Schneider
We consider an anisotropic -dimensional Swift-Hohenberg model -close to the first instability, where is a small perturbat…
Some remarks about an effective description of high-frequency wave-packet propagation
Anna Logioti, Xin Meng, Guido Schneider
We consider systems of the form $ \partial_τ \mathcal U + \mathcal A(\partial_ξ) \mathcal U + \frac{1}{\varepsilon} \mathcal E \mathcal U = \mathcal T_{2}( \mathcal U , \mathcal U…
Validity of the stochastic Landau approximation for super-pattern forming systems with a spatial 1:3 resonance
Anna Logioti
We consider a Kuramoto-Shivashinsky like equation close to the threshold of instability with additive white noise and spatially periodic boundary conditions which simultaneously ex…
Interface behavior for the solutions of a mass conserving free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. In previous pap…
Global existence for long wave Hopf unstable spatially extended systems with a conservation law
Nicole Gauss, Anna Logioti, Guido Schneider +1
We are interested in reaction-diffusion systems, with a conservation law, exhibiting a Hopf bifurcation at the spatial wave number . With the help of a multiple scaling pert…
Qualitative properties of solutions to a non-local free boundary problem modeling cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
We consider a parabolic non-local free boundary problem that has been derived as a limit of a bulk-surface reaction-diffusion system which models cell polarization. The authors hav…
A parabolic free boundary problem arising in a model of cell polarization
Anna Logioti, Barbara Niethammer, Matthias Röger +1
The amplification of an external signal is a key step in direction sensing of biological cells. We consider a simple model for the response to a time-depending signal, which was pr…