Partial Differential Equations with Free Surface Boundary, Fluid Dynamics, Magnetohydrodynamic (MHD), General Relativity.
2020-, Assistant Professor, Department of Mathematics, Chinese University of Hong Kong
2017-2020, NTT Assistant Professor, Department of Mathematics, Vanderbilt University
2017 Ph.D in Mathematics, Johns Hopkins University
2011 BA in mathematics with highest honor, University of Rochester
G. Chen and C. Luo. Lifespan of Compressible Fluids in the Halfspace. In preparation.
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). 61 pages.
C. Luo and J. Zhang. Local Well-Posedness for the Motion of a Compressible Gravity Water Wave with Vorticity. Preprint, 2020 (submitted). 47 pages.
M. M. Disconzi, C. Luo, G. Mazzone, J. Speck. Rough sound waves in 3D compressible Euler flow with vorticity. Preprint, 2019. https://arxiv.org/abs/1909.02550 (submitted). 100 pages.
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).