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math.AP2024
Infinite dimensional Slow Manifolds for a Linear Fast-Reaction System
Christian Kuehn, Pascal Lehner, Jan-Eric Sulzbach
The aim of this expository paper is twofold. We start with a concise overview of the theory of invariant slow manifolds for fast-slow dynamical systems starting with the work by Ti…
math.AP2024
Mean-Field Limits for Stochastic Interacting Particles on Digraph Measures
Christian Kuehn, Carlos Pulido
Many natural phenomena are effectively described by interacting particle systems, which can be modeled using either deterministic or stochastic differential equations (SDEs). In th…
math.AP2024
The Amplitude Equation for the Space-Fractional Swift-Hohenberg Equation
Christian Kuehn, Sebastian Throm
Non-local reaction-diffusion partial differential equations (PDEs) involving the fractional Laplacian have arisen in a wide variety of applications. One common tool to analyse the…