The global classical solution to compressible system with fractional viscous term
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS(2024)
Abstract
We consider the initial value problem to the fractional system of motions for compressible viscous fluids in this paper. We establish a local well-posedness theory for the system, as well as a global well-posedness theory for small initial data. We also show the large-time behavior of the solution, where solutions converge to a constant steady state exponentially in time.& COPY;2023 Elsevier Ltd. All rights reserved.
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Key words
Fractional Navier-Stokes equation,Global-in-time existence,Optimal decay rate
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