6 citations · 8 across the 7 of their papers we have counts for
7 papers
Traveling fronts in a spatial epidemic model with slow loss of immunity
Rossella Della Marca, Gabriele Grifò, Annalisa Iuorio +1
We investigate the emergence of traveling front solutions in a spatial SIRS epidemic model with diffusion acting on the infected population. The model exhibits a natural slow-fast…
How inertia affects autotoxicity-mediated vegetation dynamics: from close-to to far-from-equilibrium patterns
Giancarlo Consolo, Carmela Currò, Gabriele Grifò +3
In this work, the influence of inertial effects on the formation and evolution of vegetation patterns on sloped arid terrains is investigated from the onset of instability to far-f…
Canards in a bottleneck
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper we investigate the stationary profiles of a nonlinear Fokker-Planck equation with small diffusion and nonlinear in- and outflow boundary conditions. We consider corri…
A General View on Double Limits in Differential Equations
Christian Kuehn, Nils Berglund, Christian Bick +4
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to…
Singular perturbation analysis of a regularized MEMS model
Annalisa Iuorio, Nikola Popovic, Peter Szmolyan
Micro-Electro Mechanical Systems (MEMS) are defined as very small structures that combine electrical and mechanical components on a common substrate. Here, the electrostatic-elasti…
Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction
Annalisa Iuorio, Stefano Melchionna
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the exis…
Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem
Annalisa Iuorio, Christian Kuehn, Peter Szmolyan
We investigate a singularly perturbed, non-convex variational problem arising in materials science with a combination of geometrical and numerical methods. Our starting point is a…