Yuming Paul Zhang
Papers and preprints (back)
Reaction Diffusion Equations and Homogenization

Homogenization for SpaceTimeDependent KPP ReactionDiffusion Equations and GEquations, with A. Zlatoš, Calc. Var. Partial Differential Equations, to appear.

Quantitative Homogenization for Combustion in Random Media,
with A. Zlatoš, Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear.

Long Time Dynamics for Combustion in Random Media,
with A. Zlatoš, Arch. Ration. Mech. Anal., (2021) 162.

Continuity Properties for Divergence Form Boundary Data Homogenization Problems,
with W. M. Feldman, Anal. PDE, 12(2019) no.8, 19632002.

On Homogenization Problems with Oscillating Dirichlet Conditions in SpaceTime Domains,
J. London Math. Soc., 105 (2022) no. 2, 909949.
Free Boundary Problems

Regularity of HeleShaw Flow with source and drift, with I. Kim, preprint, 2022.

McKeanVlasov Equations Involving Hitting Times: Blowups and Global Solvability,
with E. Bayraktar, G. Guo, W. Tang, Ann. Appl. Probab., to appear.

Free Boundary Regularity of the Porous Medium Equation with nonlocal drifts in Dimension One,
Calc. Var. Partial Differential Equations, 61 (2022) no.2, 135.

Parallel Search for Information in Continuous Time  Optimal Stopping and Geometry of the PDE, with T. T. Ke, W. Tang, J. M. VillasBoas, Appl. Math.
Optim., 85 (2022) no.2, 123.

Porous Medium Equation with a Drift: Free boundary Regularity,
with I. C. Kim,
Arch. Ration. Mech. Anal., 242(2021) no.2, 11771228.
Regularity Results

Continuity Results for Degenerate Diffusion Equations with LqLp Drifts, with S. Hwang, Nonlinear Anal., 211(2021) 112413.

Regularity Theory for Second Order IntegroPDEs, with C. Mou,
Potential Anal., 54(2021) no.2 387407.

On a Class of DiffusionAggregation Equations,
Discrete Contin. Dyn. Syst., 40(2020) no.2, 907.

Regularity Properties of Degenerate Diffusion Equations with Drifts,
with I. C. Kim, SIAM J. Math. Anal., 50(2018) no.4, 43714406.
Chemotaxis Model and Front Propagation

Global existence of classical solutions of chemotaxis systems with logistic source and consumption or linear signal production on ℝ^{n }, with Z. Hassan, W. Shen, preprint, submitted, 2023.

Subadditive Theorems and First Passage Percolation in TimeDependent Environments, with A. Zlatoš, Electron. J. Probab., 28(2023) no. 96, 123.

Optimal Estimates on the Propagation of Reactions with Fractional Diffusion,
with A. Zlatoš, Arch. Ration. Mech. Anal., to appear.
Control Problems and Vanishing Viscosity Limit

The convergence rate of vanishing viscosity approximations for mean field
games, with W. Tang, preprint, submitted, 2023.

Policy iteration for the deterministic control problems  a viscosity approach, with W. Tang, H. V. Tran, preprint, submitted, 2023.

Exploratory HJB Equations and Their Convergence,
with W. Tang, X. Y. Zhou, SIAM J. Control Optim., 60 (2022) no. 6, 31913216.

On Continuity Equations in SpaceTime Domains,
Discrete Contin. Dyn. Syst., 38(2018) no.10, 48374873.
Subadditive Theorem

Subadditive Theorems and First Passage Percolation in TimeDependent Environments, with A. Zlatoš, Electron. J. Probab., 28(2023) no. 96, 123.
Porous Elastic System

Lack of Exponential Decay in Viscoelastic Materials with Voids,
with T. Xiao, Systems Control Lett., 63 (2014)3942.