GLOBAL SOLUTION FOR ROTATING COMPRESSIBLE PLASMA FLOW WITH LARGE DATA

Abstract

The initial boundary value problem for the Euler–Poisson equations of the two-dimensional compressible rotating plasma flow with large data in L∞is studied in the isothermal case. The shock capturing method is used to construct the approximate solution. The uniform estimate and the H-1estimate of the entropy dissipation measures are obtained, and the compensated compactness method is applied to show the convergence of the approximate solution. The nonlocal effect of the Poisson equation is analyzed. The limit of the approximate solution is a weak entropy solution. Therefore the global weak entropy solution in L∞to the Euler–Poisson equations for rotating plasma flow is constructed and the global existence is established.