Tian-hong LI

Associate Professor

Research Interests：Conservation laws, hyperbolic differential equations

Research Summary:

• Compensate Compactness method for the existence of the L^ infinity globally entropy weak solutions

• L^1 stability and the uniqueness of the weak solutions

• Special solutions of the compressible Euler equations

• Horizontal lifts of semimartingales on differentiable manifolds to the frame bundle

Representative Research Works:

• Chen, Gui-Qiang; Li, Tian-Hong Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge. J. Differential Equations 244 (2008), no. 6, 1521--1550.

• Li, Tian-Hong Convergence of the Lax-Friedrichs scheme for isothermal gas dynamics with semiconductor devices. Z. Angew. Math. Phys. 57 (2006), no. 1, 12--32.

• Li, Tianhong; Wang, Dehua Blowup phenomena of solutions to the Euler equations for compressible fluid flow. J. Differential Equations 221 (2006), no. 1, 91--101.

• Li, Tianhong Some special solutions of the multidimensional Euler equations in $\Bbb R\sp N$. Commun. Pure Appl. Anal. 4 (2005), no. 4, 757--762.

• Chen, Gui-Qiang; Li, Tian-Hong Global entropy solutions in $L\sp \infty$ to the Euler equations and Euler-Poisson equations for isothermal fluids with spherical symmetry. Methods Appl. Anal. 10 (2003), no. 2, 215--243.

• Chen, Gui-Qiang; Li, Bang-He; Li, Tian-Hong Entropy solutions in $L\sp \infty$ for the Euler equations in nonlinear elastodynamics and related equations. Arch. Ration. Mech. Anal. 170 (2003), no. 4, 331--357.

• Li, Tian-hong Explosion time of horizontal lifts of semimartingales on differentiable manifolds with linear connections. Acta Anal. Funct. Appl. 4 (2002), no. 2, 115--117.