16 citations · 33 across the 18 of their papers we have counts for
4 papers · 1 filter
Fractional Dissipative PDEs
Franz Achleitner, Goro Akagi, Christian Kuehn +4
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics. The class of PDEs we…
Fast-reaction limits for predator--prey reaction--diffusion systems: improved convergence
Cinzia Soresina, Quoc Bao Tang, Bao Ngoc Tran
The fast-reaction limit for reaction--diffusion systems modelling predator--prey interactions is investigated. In the considered model, predators exist in two possible states, name…
Cross-diffusion induced instability on networks
Christian Kuehn, Cinzia Soresina
The concept of Turing instability, namely that diffusion can destabilize the uniform steady state, is well known either in the context of partial differential equations (PDEs) or i…
A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect
Marzia Bisi, Maria Groppi, Giorgio Martalò +1
In this paper, we study a modification of the mathematical model describing inflammation and demyelination patterns in the brain caused by Multiple Sclerosis proposed in [Lombardo…