MBI Publications for RONGHUA Pan (4)
D. Li, R. Pan and K. Zhao
Quantitative decay of a hybrid type chemotaxis model with large data(In Preparation)
T. Li, K. Zhao, R. Pan and R. Pan
Global dynamics of a chemotaxis model on boundedSIAM Journal on Applied Mathematics (2012)
AbstractWe prove global existence and qualitative behavior of classical solutions for
a hyperbolic-parabolic system describing chemotaxis on bounded domains. It is shown
that classical solutions to the initial-boundary value problem of the one-dimensional
model exist globally in time for large initial data and the solutions converge to constant
equilibrium states exponentially in time, which rigorously demonstrates the collapsing of
cell populations in chemotaxis. Moreover, similar results are established for the multi-
dimensional model when the initial data are small.
M. Lai, R. Pan, K. Zhao and .
Initial boundary value problem for 2D viscous Boussi- nesq equationsRational Mechanics and AnalysisVol. 199 (2012) pp. 739-760
AbstractWe study the initial boundary value problem of 2D viscous Boussinesq equations
over a bounded domain with smooth boundary. We show that the equations have
a unique classical solution for H3 initial data and no-slip boundary condition. In
addition, we show that the kinetic energy is uniformly bounded in time.
T. Li, R. Pan and K. Zhao
Global dynamics of a chemotaxis model on bounded domains with large dataSIAM Journal on Applied MathematicsVol. 72 No. 1 (2012)