Prof. Chenyun LUO's Homepage

Research Interests:

Partial Differential Equations with Free Surface Boundary, Fluid Dynamics, Magnetohydrodynamic (MHD), General Relativity.

Academic Appointments:

2020-, Assistant Professor, Department of Mathematics, Chinese University of Hong Kong

2017-2020, NTT Assistant Professor, Department of Mathematics, Vanderbilt University

Education:

2017   Ph.D in Mathematics, Johns Hopkins University

2011   BA in mathematics with highest honor, University of Rochester

Publication List (Pre-) :

• X. Gu, C. Luo and J. Zhang. Zero Surface Tension Limit of the Free-Boundary Problem in Incompressible Magnetohydrodynamics. Preprint, 2021. https://arxiv.org/abs/2109.05400 (submitted). 31 pages.

• X. Gu, C. Luo and J. Zhang. Local Well-posedness of the Free-Boundary Incompressible Magnetohydrodynamics with Surface Tension. Preprint, 2021. https://arxiv.org/abs/2105.00596 (submitted). 60 pages.

• C. Luo and J. Zhang. Local Well-Posedness for the Motion of a Compressible Gravity Water Wave with Vorticity. Journal of Differential Equations (2022) 332: 333-403.

• M. M. Disconzi, C. Luo, G. Mazzone, J. Speck. Rough sound waves in 3D compressible Euler flow with vorticity. Selecta Mathematica 28, no. 2 (2022): 1-153.

• C. Luo and J. Zhang. A priori estimate for the incompressible free boundary magnetohydrodynamics equations with surface tension. SIAM Journal on Mathematical Analysis, 53(2), 2595-2630 (2021).

• C. Luo and J. Zhang. A regularity result for the incompressible megnetohydrodynamics equations with free surface boundary. Nonlinearity (2020), 33, no.4, 1499.

• D. Ginsberg, H. Lindblad and C. Luo. Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary. Arch. Ration. Mech. Anal. 236, 603-733 (2020).

• M. M. Disconzi and C. Luo. On the incompressible limit for the free boundary compressible Euler equations with surface tension in the case of a liquid. Arch. Ration. Mech. Anal. 237, 829-897 (2020).

• C. Luo. On the motion of a compressible gravity water wave with vorticity. Ann. PDE, 4, no.2, (2018), 1-71.

• H. Lindblad and C. Luo. A priori estimate for the compressible Euler equations for a liquid with free surface boundary and the incompressible limit. Comm. Pure Appl. Math, 71, no.7, (2018), 1273-1333.

• C. Luo. On the motion of the free surface of a compressible liquid. Ph.D. Thesis (2017).

• C. Luo. Constructive Proofs for Malgrange-Ehrenpreis Theorem. Undergraduate Honour Thesis (2011).