5 papers
Nonlinear Rayleigh-Taylor instability of the viscous surface wave in an infinitely deep ocean
Tien-Tai Nguyen
In this paper, we consider an incompressible viscous fluid in an infinitely deep ocean, being bounded above by a free moving boundary. The governing equations are the gravity-drive…
Linear and nonlinear analysis of the viscous Rayleigh-Taylor system with Navier-slip boundary conditions
Tien-Tai Nguyen
In this paper, we are interested in the nonlinear Rayleigh-Taylor instability for the gravity-driven incompressible Navier-Stokes equations with Navier-slip boundary conditions aro…
Spectral analysis of the incompressible viscous Rayleigh-Taylor system in
Tien-Tai Nguyen, Olivier Lafitte
The linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile amounts to the study of the followin…
A necessary and sufficient condition for radial property of positive entire solutions of in
Tien-Tai Nguyen
In this article, we are concerned with the following geometric equation \begin{equation}\label{MainEq} Δ^2 u = -u^{-q} \qquad \text{in } \mathbf{R}^3 \end{equation} for . Rece…
On the asymptotic behavior of radial entire solutions for the equation in
Tien Tai Nguyen
Our main task in this note is to prove the existence and to classify the exact growth at infinity of radial positive -solutions of in , where $n…