The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension $N\geq2$. Employing the precise spectral analysis for the corresponding linearized system, we prove the global well-posedness provided that the initial data are close to a stable equilibrium state in critical functional framework which is not related to the energy space. Moreover, the optimal decay rates for the constructed global solution are also established.
Zhigang WU
,
Fuyi XU
. STRONG SOLUTION FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM WITH UNEQUAL VISCOSITIES IN $L^P$-FRAMEWORK[J]. Acta mathematica scientia, Series B, 2025
, 45(3)
: 1019
-1044
.
DOI: 10.1007/s10473-025-0315-3
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