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Author:

Wang, S. (Wang, S..) | Zhang, S. (Zhang, S..)

Indexed by:

EI Scopus SCIE

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. © 2023 Elsevier Ltd

Keyword:

Fractional Navier–Stokes equation Global-in-time existence Optimal decay rate

Author Community:

  • [ 1 ] [Wang S.]Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhang S.]Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, China

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Source :

Nonlinear Analysis: Real World Applications

ISSN: 1468-1218

Year: 2024

Volume: 75

2 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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