MBI Publications for Ming-Jun Lai (1)
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.