4 papers
Refined Liouville-Type Theorems for the Stationary Navier--Stokes Equations
Youseung Cho, Minsuk Yang
We study smooth solutions to the three-dimensional stationary Navier--Stokes equations and establish new Liouville-type theorems under refined decay assumptions. Building on the wo…
Global existence of solutions of the stochastic incompressible non-Newtonian fluid models
Tongkeun Chang, Minsuk Yang
In this paper, we study the existence of solutions of stochastic incompressible non-Newtonian fluid models in . For the existence of solutions, we assume that the extra…
Logarithmic improvement of a Liouville-type theorem for the stationary Navier--Stokes equations
Youseung Cho, Minsuk Yang
We establish a new Liouville-type theorem for the stationary Navier--Stokes equations in . The main result is an improvement of the previous result with a logarithmic…
Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system
Youseung Cho, Eduard Feireisl, Minsuk Yang
We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier--Stokes system. Some of them can be seen as Liouville-type theore…