MBI Publications

MBI Publications for Tong Li (2)

• D. Li, T. Li and K. Zhao
On a hyperbolic-parabolic system modeling repulsive chemotaxis
Mathematical Models and Methods in Applied SciencesVol. 21 (2011) pp. 1631-1650

Abstract

• T. Li and K. Zhao
On a quasilinear hyperbolic system in blood flow modeling
Discrete and Continuous Dynamical SystemsVol. 16 No. Series B (2012) pp. 333-344

Abstract

This paper aims at an initial-boundary value problem on bounded

domains for a one-dimensional quasilinear hyperbolic model of blood

ow with

viscous damping. It is shown that, for given smooth initial data close to a

constant equilibrium state, there exists a unique global smooth solution to the

model. Time asymptotically, it is shown that the solution converges to the

constant equilibrium state exponentially fast as time goes to infinity due to

viscous damping and boundary eff ects.