Prof. Chenyun LUO's Homepage

Research Interests:

Academic Appointments:

Education:

(pre-)Publications:

1. Hu, Z., Luo, C., & Yao, Y. (2024). Small scale creation for 2D free boundary Euler equations with surface tension. Annals of PDE, 10(2), 13. 19 pages.
2. Luo, C., & Zhou, K. (2024). A Generalized Beale–Kato–Majda Breakdown Criterion for the Free-Boundary Problem in Euler Equations with Surface Tension. SIAM Journal on Mathematical Analysis, 56(1), 374-411. 38 pages.
3. Luo, C., & Zhang, J. (2022). Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits. Preprint. https://arxiv.org/abs/2211.03600. 74 pages.
4. Luo, C.,& Yu, H. (2022). Nematic Liquid Crystal Flows with Low Viscosity. Preprint.
5. Gu, X., Luo, C., & Zhang, J. (2024). Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension. Journal de Mathématiques Pures et Appliquées, 182, 31-115. 85 pages.
6. Gu, X., Luo, C., & Zhang, J. (2022). Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics. Nonlinearity, 35(12), 6349-6398. 50 pages.
7. Luo, C., & Zhang, J. (2022). Local well-posedness for the motion of a compressible gravity water wave with vorticity. Journal of Differential Equations, 332, 333-403. 71 pages.
8. Disconzi, M. M., Luo, C., Mazzone, G., & Speck, J. (2022). Rough sound waves in 3D compressible Euler flow with vorticity. Selecta Mathematica, 28(2), 41. 153 pages.
9. Luo, C., & Zhang, J. (2021). A priori estimates for the incompressible free-boundary magnetohydrodynamics equations with surface tension. SIAM Journal on Mathematical Analysis, 53(2), 2595-2630. 36 pages.
10. Disconzi, M. M., & Luo, C. (2020). On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid. Archive for Rational Mechanics and Analysis, 237(2), 829-897. 69 pages.
11. Ginsberg, D., Lindblad, H., & Luo, C. (2020). Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary. Archive for Rational Mechanics and Analysis, 236, 603-733. 131 pages.
12. Luo, C., & Zhang, J. (2020). A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary. Nonlinearity, 33(4), 1499-1527. 29 pages.
13. Luo, C. (2018). On the motion of a compressible gravity water wave with vorticity. Annals of PDE, 4(2), 20. 71 pages.
14. Lindblad, H., & Luo, C. (2018). A priori estimates for the compressible Euler equations for a liquid with free surface boundary and the incompressible limit. Communications on Pure and Applied Mathematics, 71(7), 1273-1333. 61 pages.
15. Luo, C. (2017). On the Motion of the Free Surface of a Compressible Liquid. Ph.D. thesis.

Competitive Research Grants:

• PI, RGC General Research Fund 2025/26, Dynamics of Water Waves with Vorticity, HK$890,587, 1/1/2026 – 31/12/2028.
• PI, RGC General Research Fund 2024/25, Free-Boundary Problem in Inviscid Compressible Fluids and the Incompressible Limit, HK$910,742, 01/12/2024 – 30/11/2027.
• PI, RGC General Research Fund 2022/23, Free-Boundary Problem in Complex Fluids, HK$672,000, 01/01/2023 – 31/12/2025.
• PI, RGC Early Career Scheme 2021/22, Local and Long Time Behavior for the Motion of a Compressible Water Wave, HK$603,303, 01/07/2021 – 30/06/2024.

Awards:

• Early Career Award, Hong Kong RGC, 2021
• Samir Aldroubi and Amira Azhari Prize for Excellence in Postdoctoral Research, Vanderbilt University, 2020
• Gale Prize in Mathematics for Excellent Graduating Seniors,University of Rochester, 2011

Postdocs:

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