1 research outputs found
Stability of non-constant equilibrium solutions for two-fluid non-isentropic Euler-Maxwell systems arising in plasmas
We consider the periodic problem for two-fluid non-isentropic Euler-Maxwell
systems in plasmas. By means of suitable choices of symmetrizers and an
induction argument on the order of the time-space derivatives of solutions in
energy estimates, the global smooth solution with small amplitude is
established near a non-constant equilibrium solution with asymptotic stability
properties. This improves the results obtained in \cite{LWF16a} for models with
temperature diffusion terms by using the pressure functions in place of
the unknown variables densities