Jun Geng

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20242026

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math.AP2026

Sharp error estimates in stochastic homogenization of parabolic systems with time-dependent coefficients

Jun Geng, Qiang Xu

This article mainly proves the existence of stationary correctors under space-time spectral gap conditions, which exhibit different properties from those of elliptic operator corre…

math.AP2025

Resolvent Estimates in $L^{\infty}$ for the Stokes Operator in Nonsmooth Domains

Jun Geng, Zhongwei Shen

We establish resolvent estimates in spaces of bounded solenoidal functions for the Stokes operator in a bounded domain $I^c ◯$ in $R^{d}$ under the assumptions that $I^c ◯$ is $C^{1}$ for $d…

math.AP2024

Neumann Problems for the Stokes Equations in Convex Domains

Jun Geng, Zhongwei Shen

This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in $R^{d}$ . We obtain nontangential-maximal-function estimates in $L^{p}$ an…

Sharp error estimates in stochastic homogenization of parabolic systems with time-dependent coefficients

Resolvent Estimates in L∞ for the Stokes Operator in Nonsmooth Domains

Neumann Problems for the Stokes Equations in Convex Domains

Resolvent Estimates in $L^{\infty}$ for the Stokes Operator in Nonsmooth Domains