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 (submitted). 27 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 (submitted). 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 (submitted). 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).