9. 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.
8. C. Luo and J. Zhang. A priori estimate for the incompressible free-boundary magnetohydrodynamics equations with surface tension. Preprint, 2019.
https://arxiv.org/abs/1907.11827 (submitted). 38 pages.
7. C. Luo and J. Zhang. A regularity result for the incompressible megnetohydrodynamics equations with free surface boundary. Preprint, 2019.
https://arxiv.org/abs/1904.05444 (Nonlinearity, recommended for publication). 31 pages.
6. D. Ginsberg, H. Lindblad and C. Luo. Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary. Preprint, 2019.
https://arxiv.org/abs/1902.08600 (ARMA, recommended for publication). 77 pages.
5. 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. Preprint, 2019.
https://arxiv.org/abs/1901.09799 (ARMA, under revision). 58 pages.
4. C. Luo. On the motion of a compressible gravity water wave with vorticity. Ann. PDE, 4, no.2, (2018), 1-71.
3. 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.
2. C. Luo. On the motion of the free surface of a compressible liquid. Ph.D. Thesis (2017).
1. C. Luo. Constructive Proofs for Malgrange-Ehrenpreis Theorem. Undergraduate Honour Thesis (2011).