44 citations · 62 across the 11 of their papers we have counts for
11 papers
Regularization for Multi-Phase 2D Euler Equations via Competing Transport Markers
Trinh T. Nguyen
We introduce a novel regularization framework for the two-dimensional incompressible Euler equation that exactly preserves the transport structure of multi-phase vorticity fields.…
Validity of Prandtl's boundary layer from the Boltzmann theory
Chanwoo Kim, Trinh T. Nguyen
We justify Prandtl equations and higher order Prandtl expansion from the hydrodynamic limit of the Boltzmann equations. Our fluid data is of the form , plus $\sq…
The Feynman-Lagerstrom criterion for boundary layers
Theodore D. Drivas, Sameer Iyer, Trinh T. Nguyen
We study the boundary layer theory for slightly viscous stationary flows forced by an imposed slip velocity at the boundary. According to the theory of Prandtl (1904) and Batchelor…
Asymptotics of Helmholtz-Kirchhoff Point-Vortices in the Phase Space
Chanwoo Kim, Trinh T. Nguyen
A rigorous derivation of point vortex systems from kinetic equations has been a challenging open problem, due to singular layers in the inviscid limit, giving a large velocity grad…
The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain
Toan T. Nguyen, Trinh T. Nguyen
In their classical work [20], Caflisch and Sammartino established the inviscid limit and boundary layer expansions of vanishing viscosity solutions to the incompressible Navier-Sto…
The inviscid limit for the Navier-Stokes equations in bounded domains
Claude Bardos, Trinh T. Nguyen, Toan T. Nguyen +1
We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general two-dimensional bounded domain. Our proof…
On the Euler+Prandtl expansion for the Navier-Stokes equations
Igor Kukavica, Trinh Nguyen, Vlad Vicol +1
We establish the validity of the EulerPrandtl approximation for solutions of the Navier-Stokes equations in the half plane with Dirichlet boundary conditions, in the vanishing v…
Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria
Trinh T. Nguyen
In this paper, we establish derivative estimates for the Vlasov-Poisson system with screening interactions around Penrose-stable equilibria on the phase space $\mathbb{R}^d_x\times…
The inviscid limit of Navier-Stokes with critical Navier-slip boundary conditions for analytic data
Trinh T. Nguyen
In this paper, we establish the short time inviscid limit of the incompressible Navier-Stokes equations with critical Navier-slip boundary conditions for analytic data on half-spac…
The inviscid limit of Navier-Stokes equations for vortex-wave data on
Toan T. Nguyen, Trinh T. Nguyen
We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane for initial data having vorticity as a superposition of point vortic…
The inviscid limit of Navier-Stokes for analytic data on the half-space
Toan T. Nguyen, Trinh T. Nguyen
In their classical work Caflisch and Sammartino proved the inviscid limit of the incompressible Navier-Stokes equations for well-prepared data with analytic regularity in the half-…