68 citations · 344 across the 50 of their papers we have counts for
54 papers
Local regularity and finite time singularity for the generalized SQG equation on the half-plane
Andrej Zlatos
We show that the generalized SQG equation with is locally well-posed on the half-plane in spaces of bounded integrable solutions that are natural for its dynamic…
Uniqueness of Positive Vorticity Solutions to the 2D Euler Equations on Singular Domains
Zonglin Han, Andrej Zlatos
We show that particle trajectories for positive vorticity solutions to the 2D Euler equations on fairly general bounded simply connected domains cannot reach the boundary in finite…
Homogenization for Time-periodic KPP Reactions
Andrej Zlatos
We prove homogenization for reaction-advection-diffusion equations with KPP reactions, in the time-periodic spatially stationary ergodic setting, and find an explicit formula for t…
Virtual Linearity for KPP Reaction-Diffusion Equations
Andrej Zlatos
We show that long time solution dynamic for general reaction-advection-diffusion equations with KPP reactions is virtually linear in the following sense. Its leading order depends…
Homogenization for Space-Time-Dependent KPP Reaction-Diffusion Equations and G-Equations
Yuming Paul Zhang, Andrej Zlatos
We prove stochastic homogenization for reaction-advection-diffusion equations with random space-time-dependent KPP reactions with temporal correlations that are decaying in an appr…
Subadditive Theorems in Time-Dependent Environments
Yuming Paul Zhang, Andrej Zlatos
We prove time-dependent versions of Kingman's subadditive ergodic theorem, which can be used to study stochastic processes as well as propagation of solutions to PDE in time-depend…