Professor Luo received his PhD from Chinese Academy of Sciences in 1995. He held a professorship at Georgetown University before joining the City University of Hong Kong. His research interest is mainly in the analysis of nonlinear partial differential equations in fluid mechanics.

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Journal

- Hao, Chengchun. & Luo, Tao. (2019). Ill-posedness of free boundary problem of the incompressible ideal MHD,. Communications in Mathematical Physics. doi:10.1007/s00220-019-03614-1
- Luo, Tao. & Zeng, Huihui. (2016). Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping. Comm. Pure Appl. Math. 1354 - 1396. doi:10.1002/cpa.21562
- Luo, Tao. , Xin, Zhouping. & Zeng, Huihui. (2016). Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities. Comm. Math. Phys. 347/3. 657 - 702.
- Luo, Tao. , Xin, Zhouping. & Zeng, Huihui. (2016). On Nonlinear Asymptotic Stability of The Lane-Emden Solutions for The Viscous Gaseous Star Problem. Advance in Mathematics. 291. 90 - 182. doi:10.1016/j.aim.2015.12.022
- Federbush, Paul. , Luo, Tao. & Smoller, Joel. (2015). Existence of Magnetic Compressible Fluid Stars. Arch. Ration. Mech. Anal. 215/2. 611 - 631.
- Hao, Chengchun. & Luo, Tao. (2014). Free Boundary Problem of Incompressible Inviscid Magnetohydrodynamic Flows. Arch. Ration. Mech. & Anal. .
- Luo, Tao. , XIn, Zhouping. & Zeng, Huihui. (2014). Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation. Arch. Ration. Mech. Anal. 213/2. 763 - 831.
- Luo, Tao. , Rauch, Jeffrey. , Xie, Chunjing. & Xin, Zhouping. (2011). Stability of Transonic Shock Solutions for One-Dimensional Euler-Poisson Equations. Arch. Rational Meach. Anal. 202/3. 787 - 827.
- Luo, Tao. & Smoller, Joel. (2009). Existence and Nonlinear Stability of Rotating Star Solutions of the Compressible Euler- Poisson Equations. Arch. Ration. Mech. & Anal. 191/3. 447 - 496.
- Luo, Tao. & Smoller, Joel. (2008). Nonlinear Dynamical Stability of Newtonian Rotating and Non-rotating White Dwarfs and Rotating Supermassive Stars. Commun. Math. Physics. 425 - 457.
- Luo, Tao. & Yang, Tong. (2004). Global structure and asymptotic behavior of weak solutions to flood wave equations. J. Diff. Eqns.
- Luo, Tao. & Smoller, Joel. (2004). Rotating fluids with self-gravitation in bounded domains. Arch. Ration. Mech. & Anal.
- Colombini, F. , Luo, T. & Rauch, J. (2003). Uniqueness and Nonuniqueness for Nonsmooth Divergence Free Transport,. Seminaire Equations aux Derivees Partielles, Ecole Polytechnique.
- Luo, T. , Xin, Z. & Yang, T. (2000). Interface behavior of compressible Navier-Stokes equations with vacuum. SIAM, J. Math. Anal. .
- Hsiao, L. & Luo, T. (1998). Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping. Quart. Appl. Math. .
- Luo, Tao. (1997). Asymptotic stability of planar rarefaction waves for the relaxation approximation of conservation laws in several dimensions. J. Diff. Eqns.
- Luo, T. & Xin, Z. (1997). Nonlinear stability of shock fronts for a relaxation system in several space dimensions. J. Diff. Eqns.
- Hsiao, L. & Luo, T. (1996). Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media. J. Differential Equations. J. Diff. Eqns. .

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Book Chapter

- Luo, T. & Smoller, J. (2012). Stellar Structure, Dynamics and Stability. Hyperbolic problems & theory, numerics and applications Ser. Contemp. Appl. Math. .

Last update date :
03 Dec 2019