Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force

作者：Chen, Kaile; Liang, Yunyun^*; Zhang, Nengqiu

来源：AIMS Mathematics, 2023, 8(11): 27712-27724.

DOI：10.3934/math.20231418

• Navier-Stokes-Korteweg equations
• stationary solution
• global existence

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.

• 单位
  华东理工大学