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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…
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…
New Liouville-type theorem for the stationary tropical climate model
Youseung Cho, Hyunjin In, Minsuk Yang
We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growt…
An improved Liouville-type theorem for the stationary tropical climate model
Youseung Cho, Hyunjin In, Minsuk Yang
In this paper, we study the Liouville-type property for smooth solutions to the steady 3D tropical climate model. We prove that if a smooth solution satisfies $u \in L^3…