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19 papers
Remarks on a Liouville-type theorem by Chae and Wolf for stationary Navier-Stokes equations
Raúl Fierro, Gaston Vergara-Hermosilla
In this note, we revisit a Liouville-type theorem of Chae and Wolf for stationary Navier-Stokes equations in [J. Differential Equations 261 (2016) 5541-5560]. We sho…
Liouville Theorems Above the Critical Threshold for Stationary Navier-Stokes Equations
Gaston Vergara-Hermosilla
We establish new Liouville-type theorems for the stationary Navier-Stokes equations in . A central open problem in this context is whether the classical $L^{9/2}(\mat…
Notes on Liouville-type theorems for the 3D stationary Navier-Stokes equations
Hongling Jiang, Jianfeng Sun, Gastón Vergara-Hermosilla +1
In \cite{CV23}, Chamorro and Vergara-Hermosilla established several Liouville-type theorems to the Navier-Stokes equations in the framework of the variable Lebesgue spaces. These r…
Liouville Theorems for Stationary Navier-Stokes Equations via the Radial Velocity Component
Gaston Vergara-Hermosilla
We study Liouville-type results for the stationary Navier--Stokes equations in . We prove that any solution is trivial under an integrabilit…
Finite time blow-up for a nonlinear parabolic equation with smooth coefficients
Oscar Jarrin, Gaston Vergara-Hermosilla
In this article, we consider an n-dimensional parabolic partial differential equation with a smooth coefficient term in the nonlinear gradient term. This equation was first introdu…
Global well-posedness of the Navier--Stokes equations and the Keller--Segel system in variable Fourier--Besov spaces
Gastón Vergara-Hermosilla, Jihong Zhao
In this paper, we study the Cauchy problem of the classical incompressible Navier--Stokes equations and the parabolic-elliptic Keller--Segel system in the framework of the Fourier-…