The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension N≥2.Employing the precise spectral analysis for the corresponding linearized system,we prove the g...The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension N≥2.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.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11971100)the Natural Science Foundation of Shanghai(Grant No.22ZR1402300)+1 种基金supported by the National Natural Science Foundation of China(Grant No.12326430)the Natural Science Foundation of Shandong Province(Grant No.ZR2021MA017).
文摘The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension N≥2.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.
