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math.AP2022
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…
math.AP2022
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…