Global Solution And Decay Of The Bipolar Incompressible Navier-stokes-fourier-poisson System With Ohm's Law

This paper mainly studies global existence and decay property of solutions to the bipolar incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law,in a periodic domain and the whole space.For the case of a periodic domain,we first derive the a priori estimates of solutions by using the higher-order energy method,then prove the global existence by employing the continuity method combined with the a priori estimates,and finally deal with the exponential decay property.For the case of the whole space,the global existence of solutions is obtained by using a similar method as the periodic domain,while the polynomial decay property is proved via the method of high and low frequency decomposition.