https://neckpinch.com/authors/wen-wang/New arXiv papers by Wen Wang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1701.02203/arxiv:1701.02203Mon, 09 Jan 2017 00:00:00 GMTWen Wang, Hui Zhou, Dapeng Xia — In this paper, we investigate some new local Aronson-Bénilan type gradient estimates for positive solutions of the porous medium equation uₜ=Δu^(m), under Ricci flow. As application, the related Harnack inequalities are derived. Our results generalize known results. These results in the paper can be regard as generalizing the gradient estimates of Lu-Ni-Vázquez-Villani and Huang-Huang-Li to the Ricci flow.Ricci flowHarnack inequalities https://neckpinch.com/papers/1701.01651/arxiv:1701.01651Fri, 06 Jan 2017 00:00:00 GMTWen Wang, Hui Zhou — In this paper, by maximum principle and cutoff function, we investigate gradient estimates for positive solutions to two nonlinear parabolic equations under Ricci flow. The related Harnack inequalities are deduced. An result about positive solutions on closed manifolds under Ricci flow is abtained. As applications, gradient estimates and Harnack inequalities for positive solutions to the heat equation under Ricci flow are derived. These results in the paper can be regard as generalizing the gradient estimates of Li-Yau, J. Y. Li, Hamilton and Li-Xu to the Ricci flow. Our results also improve the estimates of S. P. Liu and J. Sun to the nonlinear parabolic equation under Ricci flow.Ricci flowHarnack inequalities