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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
Ofiice: Math Tower 546
Email address: yang.8242 at osu dot edu
(My old Brown email will be expired by the end of 2025.)
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-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. (Crelles), to appear. [arXiv]
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]
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