• 346 Citations
  • 11 h-Index
20032020
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Research Output 2003 2020

  • 346 Citations
  • 11 h-Index
  • 40 Article
  • 1 Comment/debate
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Article
2019

Green function of Orr-Sommerfeld equations away from critical layers

Grenier, E. & Nguyen, T. T., Jan 1 2019, In : SIAM Journal on Mathematical Analysis. 51, 2, p. 1279-1296 18 p.

Research output: Contribution to journalArticle

Orr-Sommerfeld Equation
Green's function
Navier Stokes equations
Resolvent Equations
Half-plane

Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method

Grenier, E., Nguyen, T. T., Rousset, F. & Soffer, A., Jan 1 2019, (Accepted/In press) In : Journal of Functional Analysis. 278, 3, 108339.

Research output: Contribution to journalArticle

Viscous Dissipation
Shear Flow
Damping
Viscosity
Spectral Stability

The inviscid limit of navier-stokes equations for vortex-wave data on R2

Nguyen, T. T. & Nguyen, T. T., Jan 1 2019, In : SIAM Journal on Mathematical Analysis. 51, 3, p. 2575-2598 24 p.

Research output: Contribution to journalArticle

Inviscid Limit
Point Vortex
Navier Stokes equations
Vortex
Navier-Stokes Equations
1 Citation (Scopus)

Uniform in Time Lower Bound for Solutions to a Quantum Boltzmann Equation of Bosons

Nguyen, T. & Tran, M. B., Jan 22 2019, In : Archive for Rational Mechanics and Analysis. 231, 1, p. 63-89 27 p.

Research output: Contribution to journalArticle

Bosons
Boltzmann equation
Boltzmann Equation
Lower bound
Radially Symmetric Solutions
2018

La limite faible viscosité pour Navier–Stokes 2D dans un domaine rugueux

Translated title of the contribution: The vanishing viscosity limit for 2D Navier–Stokes in a rough domainGérard-Varet, D., Lacave, C., Nguyen, T. & Rousset, F., Nov 1 2018, In : Journal des Mathematiques Pures et Appliquees. 119, p. 45-84 40 p.

Research output: Contribution to journalArticle

Vanishing Viscosity
Navier-Stokes
Rough
Viscosity
Inviscid Limit
2 Citations (Scopus)

Long Time Estimates for the Vlasov–Maxwell System in the Non-relativistic Limit

Han-Kwan, D., Nguyen, T. T. & Rousset, F., Oct 1 2018, In : Communications In Mathematical Physics. 363, 2, p. 389-434 46 p.

Research output: Contribution to journalArticle

Non-relativistic Limit
estimates
Estimate
Higher Order Approximation
Stability Estimates
3 Citations (Scopus)

On the kinetic equation in zakharov's wave turbulence theory for capillary waves

Nguyen, T. T. & Tran, M. B., Jan 1 2018, In : SIAM Journal on Mathematical Analysis. 50, 2, p. 2020-2047 28 p.

Research output: Contribution to journalArticle

Kinetic Equation
Turbulence
Kinetics
Dispersive Media
Kinetic Model
4 Citations (Scopus)

Sublayer of Prandtl Boundary Layers

Grenier, E. & Nguyen, T., Sep 1 2018, In : Archive for Rational Mechanics and Analysis. 229, 3, p. 1139-1151 13 p.

Research output: Contribution to journalArticle

Boundary Layer
Boundary layers
Inviscid Limit
Vanishing Viscosity
Asymptotic Expansion
1 Citation (Scopus)

The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space

Nguyen, T. & Nguyen, T. T., Dec 1 2018, In : Archive for Rational Mechanics and Analysis. 230, 3, p. 1103-1129 27 p.

Research output: Contribution to journalArticle

Inviscid Limit
Half-space
Boundary Layer
Navier-Stokes Equations
Boundary layers
3 Citations (Scopus)

The Maxwell–Boltzmann approximation for ion kinetic modeling

Bardos, C., Golse, F., Nguyen, T. T. & Sentis, R., Aug 1 2018, In : Physica D: Nonlinear Phenomena. 376-377, p. 94-107 14 p.

Research output: Contribution to journalArticle

kinetics
approximation
ions
electron distribution
regularity
1 Citation (Scopus)

The onset of instability in first-order systems

Lerner, N., Nguyen, T. & Texier, B., Jan 1 2018, In : Journal of the European Mathematical Society. 20, 6, p. 1303-1373 71 p.

Research output: Contribution to journalArticle

Gas dynamics
First-order System
Hyperbolicity
Partial differential equations
Linear systems
2016
5 Citations (Scopus)

Ill-Posedness of the Hydrostatic Euler and Singular Vlasov Equations

Han-Kwan, D. & Nguyen, T., Sep 1 2016, In : Archive for Rational Mechanics and Analysis. 221, 3, p. 1317-1344 28 p.

Research output: Contribution to journalArticle

Vlasov equation
Vlasov Equation
Ill-posedness
Singular Equation
Hydrostatics
1 Citation (Scopus)

Instabilities in the Mean Field Limit

Han-Kwan, D. & Nguyen, T., Mar 1 2016, In : Journal of Statistical Physics. 162, 6, p. 1639-1653 15 p.

Research output: Contribution to journalArticle

Mean-field Limit
Newton second law
Coulomb Interaction
Particle System
display devices
2 Citations (Scopus)

Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits

Han-Kwan, D. & Nguyen, T. T., Jan 1 2016, In : SIAM Journal on Mathematical Analysis. 48, 5, p. 3444-3466 23 p.

Research output: Contribution to journalArticle

Quasi-neutral Limit
Nonlinear Instability
Light velocity
Maxwell System
Classical Limit
18 Citations (Scopus)

Spectral instability of characteristic boundary layer flows

Grenier, E., Guo, Y. & Nguyen, T., Jan 1 2016, In : Duke Mathematical Journal. 165, 16, p. 3085-3146 62 p.

Research output: Contribution to journalArticle

Boundary Layer Flow
Boundary Layer
Iterative Scheme
Reynolds number
Singularity
15 Citations (Scopus)

Spectral instability of general symmetric shear flows in a two-dimensional channel

Grenier, E., Guo, Y. & Nguyen, T., Apr 9 2016, In : Advances in Mathematics. 292, p. 52-110 59 p.

Research output: Contribution to journalArticle

Shear Flow
Reynolds number
Eigenvalues and Eigenfunctions
Incompressible Navier-Stokes Equations
Operator
2015
6 Citations (Scopus)

Global magnetic confinement for the 1.5D Vlasov-Maxwell system

Nguyen, T. T., Nguyen, T. V. & Strauss, W. A., Jan 1 2015, In : Kinetic and Related Models. 8, 1, p. 153-168 16 p.

Research output: Contribution to journalArticle

Maxwell System
Magnetic fields
Bounce
Compact Set
External Field
13 Citations (Scopus)

Spectral stability of Prandtl boundary layers: An overview

Grenier, E., Guo, Y. & Nguyen, T., Nov 1 2015, In : Analysis. 35, 4, p. 343-355 13 p.

Research output: Contribution to journalArticle

Spectral Stability
Boundary Layer
Boundary layers
Orr-Sommerfeld Equation
Incompressible Navier-Stokes Equations
2014
4 Citations (Scopus)

Linear Stability Analysis of a Hot Plasma in a Solid Torus

Nguyen, T. & Strauss, W. A., Feb 1 2014, In : Archive for Rational Mechanics and Analysis. 211, 2, p. 619-672 54 p.

Research output: Contribution to journalArticle

Linear stability analysis
Linear Stability Analysis
Torus
Plasma
Collisionless plasmas
3 Citations (Scopus)

Nonlinear stability of source defects in the complex Ginzburg-Landau equation

Beck, M., Nguyen, T. T., Sandstede, B. & Zumbrun, K., Apr 2014, In : Nonlinearity. 27, 4, p. 739-786 48 p.

Research output: Contribution to journalArticle

Complex Ginzburg-Landau Equation
Landau-Ginzburg equations
Nonlinear Stability
Defects
defects
1 Citation (Scopus)

Topography influence on the lake equations in bounded domains

Lacave, C., Nguyen, T. & Pausader, B., Jan 1 2014, In : Journal of Mathematical Fluid Mechanics. 16, 2, p. 375-406 32 p.

Research output: Contribution to journalArticle

Topography
lakes
Lakes
Bounded Domain
topography
2013
4 Citations (Scopus)

Stability analysis of collisionless plasmas with specularly reflecting boundary

Nguyen, T. T. & Strauss, W. A., Jul 10 2013, In : SIAM Journal on Mathematical Analysis. 45, 2, p. 777-808 32 p.

Research output: Contribution to journalArticle

Collisionless plasmas
Plasma stability
Electromagnetic fields
Stability Analysis
Plasma
2012
6 Citations (Scopus)

Boundary-layer interactions in the plane-parallel incompressible flows

Nguyen, T. & Sueur, F., Dec 1 2012, In : Nonlinearity. 25, 12, p. 3327-3342 16 p.

Research output: Contribution to journalArticle

Parallel flow
incompressible flow
Incompressible flow
Viscous flow
Incompressible Flow
2 Citations (Scopus)

Multi-dimensional stability of planar Lax shocks in hyperbolic-elliptic coupled systems

Nguyen, T., Jan 1 2012, In : Journal of Differential Equations. 252, 1, p. 382-411 30 p.

Research output: Contribution to journalArticle

Dimensional stability
Elliptic Systems
Coupled System
Shock
Nonlinear Stability
52 Citations (Scopus)

Remarks on the ill-posedness of the Prandtl equation

Gérard-Varet, D. & Nguyen, T., Apr 11 2012, In : Asymptotic Analysis. 77, 1-2, p. 71-88 18 p.

Research output: Contribution to journalArticle

Ill-posedness
Shear Flow
Monotonic
Lipschitz
Perturbation
5 Citations (Scopus)

Towards nonlinear stability of sources via a modified Burgers equation

Beck, M., Nguyen, T., Sandstede, B. & Zumbrun, K., Feb 15 2012, In : Physica D: Nonlinear Phenomena. 241, 4, p. 382-392 11 p.

Research output: Contribution to journalArticle

Burger equation
group velocity
traveling waves
far fields
perturbation
2011
62 Citations (Scopus)

A note on Prandtl boundary layers

Guo, Y. & Nguyen, T., Oct 1 2011, In : Communications on Pure and Applied Mathematics. 64, 10, p. 1416-1438 23 p.

Research output: Contribution to journalArticle

Ill-posedness
Boundary Layer
Boundary layers
Sobolev spaces
Shear flow
2010
4 Citations (Scopus)

Long-time stability of multi-dimensional noncharacteristic viscous boundary layers

Nguyen, T. & Zumbrun, K., Aug 2 2010, In : Communications In Mathematical Physics. 299, 1, p. 1-44 44 p.

Research output: Contribution to journalArticle

Boundary Layer
boundary layers
Compressible Navier-Stokes Equations
Parabolic Systems
Hyperbolic Systems

On asymptotic stability of noncharacteristic viscous boundary layers

Nguyen, T., Jun 18 2010, In : SIAM Journal on Mathematical Analysis. 42, 3, p. 1156-1178 23 p.

Research output: Contribution to journalArticle

Asymptotic stability
Asymptotic Stability
Boundary Layer
Boundary layers
Parabolic Systems
19 Citations (Scopus)

Stability of radiative shock profiles for hyperbolic-elliptic coupled systems

Nguyen, T., Plaza, R. G. & Zumbrun, K., Apr 15 2010, In : Physica D: Nonlinear Phenomena. 239, 8, p. 428-453 26 p.

Research output: Contribution to journalArticle

shock
profiles
gases
estimates
conservation laws
2009
9 Citations (Scopus)

Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic-parabolic systems

Nguyen, T. & Zumbrun, K., Dec 1 2009, In : Journal des Mathematiques Pures et Appliquees. 92, 6, p. 547-598 52 p.

Research output: Contribution to journalArticle

Parabolic Systems
Hyperbolic Systems
Boundary Layer
Boundary layers
Nonlinear Stability
11 Citations (Scopus)

Spectral stability of noncharacteristic isentropic navier-stokes boundary layers

Costanzino, N., Humpherys, J., Nguyen, T. & Zumbrun, K., Jun 1 2009, In : Archive for Rational Mechanics and Analysis. 192, 3, p. 537-587 51 p.

Research output: Contribution to journalArticle

Spectral Stability
Navier-Stokes
Boundary Layer
Boundary layers
Shock
5 Citations (Scopus)

Stability of multidimensional viscous shocks for symmetric systems with variable multiplicities

Nguyen, T., Dec 1 2009, In : Duke Mathematical Journal. 150, 3, p. 577-614 38 p.

Research output: Contribution to journalArticle

Shock
Multiplicity
Resolvent
Low Frequency
Energy Estimates
11 Citations (Scopus)

Stability of scalar radiative shock profiles

Lattanzio, C., Mascia, C., Nguyen, T., Plaza, R. G. & Zumbrun, K., Dec 1 2009, In : SIAM Journal on Mathematical Analysis. 41, 6, p. 2165-2206 42 p.

Research output: Contribution to journalArticle

Asymptotic stability
Green's function
Shock
Conservation
Damping
2007
3 Citations (Scopus)

Global attractors and uniform persistence for cross diffusion parabolic systems

Le, D. & Nguyen, T., Jun 1 2007, In : Dynamic Systems and Applications. 16, 2, p. 361-378 18 p.

Research output: Contribution to journalArticle

Cross-diffusion System
Uniform Persistence
Parabolic Systems
Global Attractor
Lotka-Volterra
10 Citations (Scopus)

Regularity and coexistence problems for strongly coupled elliptic systems

Le, D., Nguyen, L. V. & Nguyen, T. T., Oct 29 2007, In : Indiana University Mathematics Journal. 56, 4, p. 1749-1792 44 p.

Research output: Contribution to journalArticle

Elliptic Systems
Coexistence
Coupled System
Cross-diffusion System
Regularity
2006
11 Citations (Scopus)

Everywhere regularity of solutions to a class of strongly coupled degenerate parabolic systems

Le, D. & Nguyen, T., Jan 1 2006, In : Communications in Partial Differential Equations. 31, 2, p. 307-324 18 p.

Research output: Contribution to journalArticle

Degenerate Parabolic System
Population dynamics
Regularity of Solutions
Population Dynamics
Porous Media
2005
18 Citations (Scopus)

Global existence for a class of triangular parabolic systems on domains of arbitrary dimension

Le, D. & Nguyen, T., Jul 1 2005, In : Proceedings of the American Mathematical Society. 133, 7, p. 1985-1992 8 p.

Research output: Contribution to journalArticle

Triangular Systems
Parabolic Systems
Global Existence
Weak Solution
Bounded Domain
3 Citations (Scopus)

Persistence for a class of triangular cross diffusion parabolic systems

Le, D. & Nguyen, T., Jan 1 2005, In : Advanced Nonlinear Studies. 5, 4, p. 493-514 22 p.

Research output: Contribution to journalArticle

Cross-diffusion System
Triangular Systems
Parabolic Systems
Global Attractor
Persistence
2003
27 Citations (Scopus)

Shigesada-Kawasaki-Teramoto model on higher dimensional domains

Le, D., Nguyen, L. V. & Nguyen, T., Dec 1 2003, In : Electronic Journal of Differential Equations. 2003, p. 1-12 12 p.

Research output: Contribution to journalArticle

High-dimensional
Cross-diffusion System
Triangular Systems
Global Attractor
Population Dynamics