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• W4313409726 startingPage "174" @default.
• W4313409726 abstract "We are concerned with a system of equations governing the evolution of isothermal, viscous, and compressible fluids of the Korteweg type, which is used to describe a two-phase liquid–vapor mixture. It is found that there is a “regularity-gain dissipative structure of linearized systems in case of zero sound speed P′(ρ*)=0, in comparison with the classical compressible Navier–Stokes equations. First, we establish the global-in-time existence of strong solutions in hybrid Besov spaces by using Banach’s fixed point theorem. Furthermore, we prove that the global solutions with critical regularity are Gevrey analytic in fact. Secondly, based on Gevrey’s estimates, we obtain uniform bounds on the growth of the analyticity radius of solutions in negative Besov spaces, which lead to the optimal time-decay estimates of solutions and their derivatives of arbitrary order." @default.
• W4313409726 created "2023-01-06" @default.
• W4313409726 creator A5020045614 @default.
• W4313409726 creator A5052885144 @default.
• W4313409726 date "2022-12-29" @default.
• W4313409726 modified "2023-10-18" @default.
• W4313409726 title "Global Dynamics of the Compressible Fluid Model of the Korteweg Type in Hybrid Besov Spaces" @default.
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• W4313409726 doi "https://doi.org/10.3390/math11010174" @default.
• W4313409726 hasPublicationYear "2022" @default.
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