Rigorous derivation of incompressible type Euler equations from non-isentropic Euler-Maxwell equations (Q708704)

The authors study the combined quasi-neutral and non-relativistic limit by the method of asymptotic expansions to the Cauchy problem for the multidimensional non-isentropic Euler-Maxwell models for plasmas or semiconductors. Ones derive non-isentropic Euler equations of an incompressible type for the leading profiles of the expansion and corresponding linearized equations for the other profiles. For well prepared initial data, the convergence of the Euler-Maxwell equations to incompressible Euler equations are justified rigorously by an analysis of asymptotic expansions and energy method.