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 nonlinear partial differential equations and analysis including: Mathematical Analysis of PDEs of Fluid Dynamics, Fluids Free Boundary Problems, Hyperbolic Conservation Laws, Calculus of Variations and etc. His research has been supported by
Natioanl Science Fundation (NSF) of USA and the Research Grant Council (RGC) of Hong Kong. He also serves on the editorial board of Kinetic and Related Models.
Journal
- Hao, Chengchun. & Luo, Tao. (2022). Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations. Electronic Research Archive. 30/2. 404 - 424. doi:10.3934/era.2022021
- Huang, Yongting. & Luo, Tao. (2021). Compressible viscous heat-conducting surface wave without surface tension. J. Math. Phys. 62/6.
- Luo, Tao. & Zeng, Huihui. (2021). On the free surface motion of highly subsonic heat-conducting inviscid flows. Arch. Ration. Mech. Anal. 240/2. 877 - 926.
- Hao, Chengchun. & Luo, Tao. (2021). Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations. J. Diff. Eqns.
- Liu, Hairong. , Luo, Tao. & Zhong, Hua. (2020). Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains. J. Differential Equations. 269/11. 9936 - 10001.
- Hao, Chengchun. & Luo, Tao. (2020). Ill-posedness of free boundary problem of the incompressible ideal MHD,. Communications in Mathematical Physics. 376/1. 941 - 963. doi:10.1007/s00220-019-03614-1
- Luo, Tao. & Wang, Yanlin. (2020). Nonlinear Asymptotic stability of traveling waves of system for gas dynamics in thermal nonequilibrium. J. Dynam. Differential Equations.
- Luo, Tao. & Wang, Yanlin. (2020). Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes. J. Differential Equations.
- Huang, Yongting. & Luo, Tao. (2019). Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium. Ann. I. H. Poincar\'{e}-AN.
- Luo, Tao. , Wang, Shu. & Wang, Yanlin. (2019). Initial layer and incompressible limit for Euler-Poisson equation in nonthermal plasma. Math. Models Methods Appl. Sci. 29 (2019). Math. Models Methods Appl. Sci. .
- Luo, Tao. & Zhong, Hua. (2019). Linearized asymptotic stability of rarefaction waves for gas dynamics in thermal and life span of solutions. Comm. Math.Sci. .
- Chang, Der-Chen. , Luo, Tao. & Zhong, Hua. (2019). On an initial boundary value problem for gas dynamics in thermal nonequilibrium. J. Math. Phys.
- Luo, Tao. (2019). Some results on Newtonian gaseous stars—existence and stability. Acta Math. Appl. Sin. Engl. Ser. .
- Hong, Guangyi. , Luo, Tao. & Zhu, Changjiang. (2018). Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions. J. Diff. Eqns.
- Chang, Der-Chen. & Luo, Tao. (2018). Global solution to initial boundary value problem for gas dynamics in thermal nonequilibrium. J. Diff. Eqns.
- 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. & Xin, Zhouping. (2012). Transonic shock solutions for a system of Euler-Poisson Equations. Comm. Math. Sci. .
- Colombini, F. , Luo, T. & Rauch, J. (2011). $ C^1$ Measure Respecting Maps Preserve BV Iff they have Bounded Derivative. Methods and Applications of Analysis.
- 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. (2008). Layer Dynamics and Phase Transition for Nonlinear Thermoviscoelasticity, {\it Applicable Analysis. Applicable Analysis.
- 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.
- Fan, Haitao. & Luo, Tao. (2005). Convergence to equilibrium rarefaction waves for discontinuous solutions of shallow water wave equations with relaxation. Quart. Appl. Math.
- Luo, Tao. & Yang, Tong. (2004). Global structure and asymptotic behavior of weak solutions to flood wave equations. J. Diff. Eqns.
- Colombini, F. , Luo, T. & Rauch, J. (2004). Nearly Lipshitzean Divergence Free Transport Propagates Neither Continuity Nor BV Regularity. Commun. Math. Sci. .
- 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. , Natalini, R. & Yang, T. (2000). Global BV solutions to a p-system with relaxation. J. Differential Equations.
- Luo, T. & Yang, T. (2000). Interaction of elementary waves for compressible Euler equations with frictional damping. J. Differential Equations.
- Luo, T. , Xin, Z. & Yang, T. (2000). Interface behavior of compressible Navier-Stokes equations with vacuum. SIAM, J. Math. Anal. .
- Hsiao, L. , Luo, T. & Yang, T. (1998). Global BV solutions of compressible Euler equations with spherical symmetry and damping. J. Diff. Eqns.
- Luo, T. & Serre, D. (1998). Linear stability of shock profiles for a rate-type viscoelastic system with relaxation. Quart. Appl. Math.
- Luo, Tao. & Natalini, Roberto. (1998). BV solutions and relaxation limit for a model in viscoelasticity. Proc. Roy. Soc. Edinburgh Sect. A.
- 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). Large-time behaviour of solutions for the outer pressure problem of a viscous heat- conductive one-dimensional real gas. Proc. Roy. Soc. Edinburgh Sect. A.
- 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. .
- Luo, T. & Xiao, L. (1993). Large time behavior of the solutions of nonlinear degenerate diffusion equations. Acta Math. Sci. (English Ed.).
Conference Paper
- Luo, Tao. & Zeng, Huihui. (2020). Some results on fluid free boundary problems. Proceedings of the International Consortium of Chinese Mathematicians 2017.
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 :
19 Jan 2022
