In this paper, we will investigate a new curvature flow for closed convex plane curves which shortens the length of the evolving curve but expands the area it bounds and makes the curve more and more circular during the evolution process, and the final shape of the evolving curve will be a circle (as t goes to infinity). This flow is determined by a coupled system and thus different from the po...

Polarization for Au/Pb(Zr Ti )O /YBa Cu O ferroelectric capacitor has been studied and measured by pulse method. A sequence of pulses with amplitudes varying from 0 to 10 volts in 2 volt steps is applied and a conventional polarization curve is obtained by integrating the charge flow from the polarization switching induced by the voltage ramp. A value of 25?C/cm2 is measured for the satur...