Convergence of the Lax-Friedrichs scheme for isothermal gas dynamics with semiconductor devices (Q818765)

The existence of global solutions to the Euler equations of compressible isothermal gas dynamics with semiconductor devices is studied. The author constructs approximate solutions using the Lax-Friedrichs scheme. The convergence and consistency are obtained by using the compensated compactness framework for \(r=1\). The global entropy solutions in \(L^{\infty}\) are obtained. The author deals with the united data containing unbounded velocity which is different from the isentropic case.