2 papers
math.AP2022
Strong Solutions for Three-dimensional Nonhomogeneous Incompressible Heat Conducting Magnetohydrodynamic Equations with Vacuum
Huanyuan Li
This paper is concerned with a Cauchy problem for the three-dimensional (3D) nonhomogeneous incompressible heat conducting magnetohydrodynamic (MHD) equations in the whole space. F…
math.AP2019
A blow-up criterion for the strong solutions to the nonhomogeneous Navier-Stokes-Korteweg equations in dimension three
Huanyuan Li
This paper proves a Serrin's type blow-up criterion for the 3D density-dependent Navier-Stokes-Korteweg equations with vacuum. It is shown that if the density and velocity field sa…