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pro vyhledávání: '"Nguyen, Trinh T."'
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 (1956), any Euler solution arising in this limit and consisting of a
Externí odkaz:
http://arxiv.org/abs/2308.15447
Autor:
Kim, Chanwoo, Nguyen, Trinh T.
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 gradient in the Boltzmann equations. In this paper, we derive the Helmholt
Externí odkaz:
http://arxiv.org/abs/2303.12257
Autor:
Nguyen, Toan T., Nguyen, Trinh T.
In their classical work [20], Caflisch and Sammartino established the inviscid limit and boundary layer expansions of vanishing viscosity solutions to the incompressible Navier-Stokes equations for analytic data on a half-space. It was then subsequen
Externí odkaz:
http://arxiv.org/abs/2201.07195
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 is direct, using the vorticity formulation with a nonlocal boundary co
Externí odkaz:
http://arxiv.org/abs/2111.14782
Autor:
Nguyen, Trinh T.
In this paper, we establish derivative estimates for the Vlasov-Poisson system with screening interactions around Penrose-stable equilibria on the phase space $\mathbb{R}^d_x\times \mathbb{R}_v^d$, with dimension $d\ge 3$. In particular, we establish
Externí odkaz:
http://arxiv.org/abs/2004.05546
Autor:
Nguyen, Trinh T.
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-space, a boundary condition that is physically derived from the hydrodynam
Externí odkaz:
http://arxiv.org/abs/1904.12943
Autor:
Nguyen, Toan T., Nguyen, Trinh T.
We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane $\mathbb{R}^2$ for initial data having vorticity as a superposition of point vortices and a regular component. In particular, this rigorously justifies t
Externí odkaz:
http://arxiv.org/abs/1902.08101
Autor:
Nguyen, Toan T., Nguyen, Trinh T.
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-space. Their proof is based on the detailed construction of Prandtl's
Externí odkaz:
http://arxiv.org/abs/1712.05360
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