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In this paper, we are devoted to study the Cauchy problem of the incompressible density-dependent Boussinesq equations of Korteweg type with vacuum. We establish some key spatial weighted estimates and a priori decay-in-time rate of the strong solutions by using the energy method. Furthermore, we prove that there is a unique global strong solution for the 2D Cauchy problem when the spatial weighted norm of the initial density is suitably small. Finally, we also obtain the large time decay rates for the gradients of velocity, temperature and pressure.(c) 2022 Elsevier Ltd. All rights reserved.
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN: 1468-1218
Year: 2023
Volume: 70
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:9
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: 4
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