Vitalii Konarovskyi

collaborators

2 papers

math.PR2025

Ill-posedness of the pure-noise Dean-Kawasaki equation

Lorenzo Dello Schiavo, Vitalii Konarovskyi

We prove that the Dean-Kawasaki-type stochastic partial differential equation $\partial ρ = \nabla \cdot (ρ ξ) + \nabla \cdot (ρ H (ρ))$ with vector-valued sp…

math.PR2020

Sticky-Reflected Stochastic Heat Equation Driven by Colored Noise

Vitalii Konarovskyi

We prove the existence of a sticky-reflected solution to the heat equation on the spatial interval $[0, 1]$ driven by colored noise. The process can be interpreted as an infinite-di…