Vitalii Konarovskyi

activity

20202025

most citedDean-Kawasaki equation with initial condition in the space of positive distributions

2 citations · 2 across the 3 of their papers we have counts for

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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.PR2023★ 2 cited

Dean-Kawasaki equation with initial condition in the space of positive distributions

Vitalii Konarovskyi, Fenna Müller

We show that the Dean--Kawasaki equation does not admit nontrivial solutions in the space of tempered measures. More specifically, we consider martingale solutions taking values, a…

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…