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Toan Nguyen

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

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

    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 journal › Article

    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 journal › Article

    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. 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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

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

    Erratum to Global magnetic confinement for the 1.5D Vlasov-Maxwell system [Kinetic and Related Models, 8, (2015), 153-168]

    Nguyen, T., Nguyen, T. V. & Strauss, W. A., Jan 1 2015, In : Kinetic and Related Models. 8, 3, p. 615-616 2 p.

    Research output: Contribution to journal › Comment/debate

    Global Smooth Solution
    Maxwell System
    Kinetics
    Boundary conditions
    Model
    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

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

    Boundary-layer interactions in the plane-parallel incompressible flows

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

    Research output: Contribution to journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

    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 journal › Article

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