LAUSR

Abstract The global existence of classical solutions to the non-isentropic hydrodynamic models of two-carrier plasmas has been demonstrated in spatially critical spaces (see [29] ). However, the corresponding large-time behavior remains an open question. In this study, we show that the irrotationality of the coupled electronic field plays a key role in the standard dissipative structure. Furthermore, we establish the optimal time-decay estimates if the initial data are also assumed to exist in the Besov space B ˙ 2 , ∞ − s ( max ⁡ { 0 , n 2 − 2 } s ≤ n 2 if n ≥ 3 or 1 2 s ≤ 1 if n = 2 ). The sharp lower bound of the decay regularity (with respect to the dimensions) is demonstrated compared with the result obtained for the isentropic model [27] .