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Creators/Authors contains: "Nguyen, Toan T"

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  1. ; (, Journal de Mathématiques Pures et Appliquées)
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  2. ; (, Communications in Mathematical Physics)
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  3. ; (, Annales de l'Institut Henri Poincaré C, Analyse non linéaire)
    This paper is the continuation of a program, initiated in Grenier and Nguyen [SIAM J.Math. Anal. 51 (2019); J. Differential Equations 269 (2020)], to derive pointwise estimates on theGreen function of Orr–Sommerfeld equations. In this paper we focus on long wavelength perturbations, more precisely horizontal wave numbers\alphaof order\nu^{1/4}, which correspond to the lower boundary of the instability area for monotonic profiles. 
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  4. ; ; (, SIAM Journal on Mathematical Analysis)
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  5. ; ; (, Annals of PDE)
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  6. ; ; (, Communications in Mathematical Physics)
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  7. ; ; ; (, Kinetic and Related Models)
    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 condition, the explicit semigroup of the linear Stokes problem near the flatten boundary, and the standard wellposedness theory of Navier-Stokes equations in Sobolev spaces away from the boundary. 
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  8. ; (, Journal of Differential Equations)
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  9. ; (, Archive for Rational Mechanics and Analysis)
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  10. ; ; (, Quarterly of Applied Mathematics)
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