1 citations · 1 across the 6 of their papers we have counts for
6 papers
Multi-scale Analysis for Rosseland Equation with Small Periodic Oscillating Coefficients
Zhang Qiao-fu
Rosseland equation is one of the most popular models of the conduction-radiation coupled heat transfer in the thermal protection system. The well-posedness, the corresponding mathe…
Divergence form nonlinear nonsmooth parabolic equations with locally arbitrary growth conditions and nonlinear maximal regularity
Qiao-fu Zhang
This is a generalization of our prior work on the compact fixed point theory for the elliptic Rosseland-type equations. We obtain the maximum principle without the technical Steklo…
Divergence form nonlinear nonsmooth elliptic equations with locally arbitrary growth conditions and nonlinear maximal regularity
Zhang Qiao-fu
This is a simplification of our prior work on the existence theory for the Rosseland-type equations. Inspired by the Rosseland equation in the conduction-radiation coupled heat tra…
Existence of Rosseland equation
QiaoFu Zhang, JunZhi Cui
The global boundness, existence and uniqueness are presented for the kind of Rosseland equation with a small parameter. This problem comes from conduction-radiation coupled heat tr…
Regularity of the correctors and local gradient estimate of the homogenization for the elliptic equation: linear periodic case
QiaoFu Zhang, JunZhi Cui
and estimates for the first-order and second-order correctors in the homogenization are presented based on the translation invariant and Li-Vogelius's gradient…
Error estimate of the second-order homogenization for divergence-type nonlinear elliptic equation
Zhang QiaoFu, Cui JunZhi
Second-order two-scale expansions, a unified proof for the regularity of the correctors based on the translation invariant and a lemma for extracting from the remainder term…