5 citations · 9 across the 4 of their papers we have counts for
5 papers
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…
Quantitative Homogenization for Combustion in Random Media
Yuming Paul Zhang, Andrej Zlatos
We obtain the first quantitative stochastic homogenization result for reaction-diffusion equations, for ignition reactions in dimensions that either have finite ranges of…
Continuity results for degenerate diffusion equations with drifts
Sukjung Hwang, Yuming Paul Zhang
In this paper, we study local uniform continuity of nonnegative weak solutions to degenerate diffusion-drift equations in the form \[ u_{t} = Δu^{m} + \nabla\cdot \left( B (x,t) \,…
Regularity theory for Second order Integro-PDEs
Chenchen Mou, Yuming Zhang
This paper is concerned with higher Hölder regularity for viscosity solutions to non-translation invariant second order integro-PDEs, compared to \cite{mou2018}. We first obtain $C…
Regularity Properties of Degenerate Diffusion Equations with Drifts
Inwon Kim, Yuming Zhang
This paper considers a class of nonlinear, degenerate drift- diffusion equations. We study well-posedness and regularity properties of the solutions, with the goal to achieve unifo…