3 papers
math.PR2026
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Adrian Martini, Avi Mayorcas
We study an additive-noise approximation to Keller-Segel-Dean-Kawasaki dynamics, which is proposed as an approximate model to the fluctuating hydrodynamics of chemotactically inter…
math.PR2026
Ergodicity for SPDEs driven by divergence-free transport noise
Benjamin Gess, Rishabh S. Gvalani, Adrian Martini
We study the ergodic behaviour of the McKean-Vlasov equations driven by common, divergence-free transport noise. In particular, we show that in dimension , if the noise is…
math.PR2024
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Local Well-Posedness of Paracontrolled Solutions
Adrian Martini, Avi Mayorcas
Using the method of paracontrolled distributions, we show the local well-posedness of an additive noise approximation to the fluctuating hydrodynamics of the Keller-Segel model on…