Journal
AIMS MATHEMATICS
Volume 8, Issue 11, Pages 27712-27724Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.20231418
Keywords
Navier-Stokes-Korteweg equations; stationary solution; global existence
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In this article, we investigate the three-dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. By assuming the smallness of both the external potential force and the initial perturbation, we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations.
In this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the stationary solution in H2(R3) x H1(R3), we prove the global existence and regularity of strong solutions for the Navier-Stokes-Korteweg equations.
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