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Personal Info
Personal Info
I am an Assistant Professor in the Department of Mathematics, The Ohio State University.
Previously I was a Prager Assistant Professor and Simon Bridge Postdoc at Brown University. My mentor was Hongjie Dong. I received my Ph.D. at Rutgers University in 2021 under the supervision of Yanyan Li. You may find my CV here.
Contact Info
Contact Info
Office: Math Tower 546
Email address: yang.8242 at osu dot edu
(I no longer have access to my old Brown email.)
Office hours for Spring 26: MWF 4-5.
Research
Research
My research interests lie in analysis, partial differential equations, and fluid dynamics. My current research focuses on the regularity of elliptic equations/systems, high-contrast composite materials, and the Navier-Stokes equation. I am open to learning and engaging in different directions within the field of PDEs.
My research is supported by NSF Grant DMS-2550221 (transferred from DMS-2510251).
Published or accepted papers:
Published or accepted papers:
Gradient estimates for the conductivity problem with imperfect bonding interfaces (With H.Dong and H.Zhu). J. Reine Angew. Math. (Crelle), 830 (2026), 101-139. [arXiv] [Journal]
Small scales in inviscid limits of steady fluids (With Y.Guo). SIAM J. Math. Anal. 57(2025), no. 5, 5216-5242. [arXiv] [Journal]
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier-Stokes Equation in R^3 (With J.Bang). J. Math. Fluid Mech. 27 (2025), 35. [arXiv] [Journal]
Gradient estimates for the insulated conductivity problem: The non-umbilical case (With H.Dong and Y.Y.Li). J. Math. Pures Appl. 189 (2024), 103587. [arXiv] [Journal]
Asymptotics of the solution to the perfect conductivity problem with p-Laplacian (With H.Dong and H.Zhu). Math. Ann. 390 (2024), no. 4, 5005-5051. [arXiv] [Journal]
Optimal gradient estimates of solutions to the insulated conductivity problem in dimensions greater than two (With H.Dong and Y.Y.Li). J. Eur. Math. Soc. (JEMS) 27 (2025), no. 8, 3275-3296. [arXiv] [Journal]
The insulated conductivity problem with p-Laplacian (With H.Dong and H.Zhu). Arch. Ration. Mech. Anal. 247 (2023), 95 [arXiv] [Journal]
Optimal estimates for transmission problems including relative conductivities with different signs (With H.Dong). Adv. Math. 428 (2023), 109160. [arXiv] [Journal]
Gradient estimates of solutions to the insulated conductivity problem in dimensions greater than two (With Y.Y.Li). Math. Ann. 385 (2023), no. 3-4, 1775–1796. [arXiv] [Journal]
Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space (With Y.Y.Li). Commun. Math. Phys. 394 (2022), no. 2, 711–734. [arXiv] [Journal]
Gradient estimates of solutions to the conductivity problem with flatter insulators (With Y.Y.Li). Anal. Theory Appl. 37 (2021), no. 1, 114-128. [Journal]
Asymptotics of the gradient of solutions to the perfect conductivity problem (With H.G.Li and Y.Y.Li). Multiscale Model. Simul. 17 (2019), no. 3, 899-925. [arXiv] [Journal]
Preprints:
Preprints:
Gradient estimates for the insulated conductivity problem with partially flat inclusions (With H.Dong and H.Zhu). arXiv:2508.12700. [arXiv]
Couette Taylor instabilities in the small-gap regime (With D. Bian, E. Grenier, G. Iooss). arXiv:2601.14806. [arXiv]
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