On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow

In this paper, we prove the $\mathcal{R}$-sectoriality of the resolvent problem for the boundary value problem of the Stokes operator for the compressible viscous fluids in a general domain, which implies the generation of analytic semigroup and the maximal Lp-Lq regularity for the initial boundary...

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Veröffentlicht in:	Funkcialaj Ekvacioj 2013, Vol.56(3), pp.441-505
Hauptverfasser:	Enomoto, Yuko, Shibata, Yoshihiro
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic semigroup Boundary value problems Compressible viscous fluid Exponential stability General domain Global in time unique existence theorem Local in time unique existence theorem mathcal{R}$-sectoriality Maximal Lp-Lq regularity Navier-Stokes equations Stokes equations
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