Prof. Dr. Thieu Huy Nguyen

Profil

Derzeitige StellungProfessor W-2 und Äquivalente
FachgebietAnalysis, Differentialgleichungen
KeywordsExistence and asymptotic behavior of solutions, Lp-Spaces; Admissible spaces, Oseen and Navier-Stokes equations, Stokes; semi-linear equations, Stokes semigroups; C_0 semigroups

Aktuelle Kontaktadresse

LandVietnam
OrtHanoi
Universität/InstitutionHanoi University of Science and Technology
Institut/AbteilungSchool of Applied Mathematics and Informatics

Gastgeber*innen während der Förderung

Prof. Dr. Matthias HieberFachbereich - Mathematik, Technische Universität Darmstadt, Darmstadt
Beginn der ersten Förderung01.01.2012

Programm(e)

2011Humboldt-Forschungsstipendien-Programm für erfahrene Forschende

Publikationen (Auswahl)

2023Thieu Huy Nguyen, Thi Ngoc Ha Vu, Thi Kim Oanh Tran: (X, Y, φ)-Stable semigroups, periodic solutions, and applications. In: Dynamical Systems 38, 2023, 612–631
2023Thieu Huy Nguyen, Thi Ngoc Ha Vu: Dichotomy Gap Conditions, Admissible Spaces, and Inertial Manifolds. In: Journal of Dynamics and Differential Equations, Online-first, 2023, Online-first at link: https://doi.org/10.1007/s10884-023-10320-z
2023Phi Ha, Thieu Huy Nguyen: Exponential Dichotomy and Stable Manifolds for Differential-Algebraic Equations on the Half-Line. In: Journal of Dynamical and Control Systems, 29, 2023, 475-500
2023Matthias Hieber, Thieu Huy Nguyen: Periodic solutions and their stability to the Navier-Stokes equations on a half space. In: Discrete and Continuous Dynamical Systems - S, Online-First, 2023, Online-First at link: http://dx.doi.org/10.3934/dcdss.2022199
2023Thieu Huy Nguyen, Thi Ngoc Ha Vu: Ricci curvature and the size of initial data for the Navier–Stokes equations on Einstein manifolds. In: Archiv der Mathematik, Online-first, 2023, Online-first at link: https://doi.org/10.1007/s00013-023-01923-5
2022Thieu Huy Nguyen, Truong Xuan Pham, Thi Ngoc Ha Vu, The Sac Le: Existence and Stability of Periodic and Almost Periodic Solutions to the Boussinesq System in Unbounded Domains . In: Acta Mathematica Scientia 42 , 2022, 1875-1901
2022Thieu Huy Nguyen, Truong Xuan Pham, Thi Ngoc Ha Vu, Thi Thuy Ha Vu: Inertial manifolds for parabolic differential equations: The fully nonautonomous case. In: Communications on Pure & Applied Analysis 21 , 2022, 943–958
2022Thieu Huy Nguyen, Truong Xuan Pham, Thi Van Nguyen, Thi Ngoc Ha Vu: On Periodic Solutions of the Incompressible Navier-Stokes Equations on Non-compact Riemannian Manifolds. In: Taiwanese journal of mathematics , 26, 2022, 607-633
2022Thieu Huy Nguyen, Xuan-Quang Bui: On the existence and regularity of admissibly inertial manifolds with sectorial operators . In: Dynamical Systems, 37 2022, 295-327
2022Thieu Huy Nguyen, Thi Ngoc Ha Vu, Thi Van Nguyen: Stability and periodicity of solutions to Navier-Stokes equations on non-compact riemannian manifolds with negative curvature. In: Analysis and Mathematical Physics, 12, 2022, 89.01-89.28
2021Thieu Huy Nguyen, Thi Ngoc Ha Vu: Conditional stability and periodicity of solutions to evolution equations . In: Journal of Evolution Equations 21 , 2021, 3797–3812
2021Thieu Huy Nguyen, Thi Ngoc Ha Vu: Navier-Stokes equations on non-compact Einstein manifolds: Stability implies periodicity . In: Journal of Mathematical Analysis and Applications , 505 , 2021, 125544.1-13
2020 Thi Ngoc Ha Vu, Thieu Huy Nguyen, Thi Mai Vu: Parabolic evolution equations in interpolation spaces: boundedness, stability, and applications . In: Zeitschrift für angewandte Mathematik und Physik , 71 , 2020, 01-17
2020Thieu Huy Nguyen, Thi Loan Nguyen, Thi Ngoc Ha Vu Periodicity and stability of solutions to neutral differential equations with φ-Lipschitz and infinite delays . In: Annales Polonici Mathematici , 125 , 2020, 155-181
2019Thieu Huy Nguyen, Xuan Yen Trinh: Admissibly Stable Manifolds for a Class of Partial Neutral Functional Differential Equations on a Half-line . In: Taiwanese Journal of Mathematics , 23 , 2019, 897-923
2019Thieu Huy Nguyen, Thi Loan Nguyen, Thi Ngoc Ha Vu: Periodic solutions and their conditional stability for partial neutral functional differential equations . In: Journal of Evolution Equations , 19 , 2019, 1091–1110
2018Thieu Huy Nguyen, Anh Minh Le: Admissible Inertial Manifolds for Delay Equations and Applications to Fisher-Kolmogorov Models . In: Acta Applicandae Mathematicae , 156 , 2018, 15-31
2018Thieu Huy Nguyen, Xuan-Quang Bui: Competition models with diffusion, analytic semigroups, and inertial manifolds . In: Mathematical Methods in the Applied Sciences, 41 , 2018, 8182–8200
2018Thieu Huy Nguyen, Thi Kim Oanh Tran: Periodicity of inhomogeneous trajectories and applications . In: Journal of Mathematical Analysis and Applications 468 , 2018, 161-168
2017Thieu Huy Nguyen, Viet Duoc Trinh, Thi Ngoc Ha Vu, Thi Mai Vu: Boundedness, Almost Periodicity and Stability of Certain Navier–Stokes flows in Unbounded Domains . In: Journal of Differential Equations , 263 , 2017, 8979–9002
2017Thieu Huy Nguyen, Quy Dang Ngo: Dichotomy and periodic solutions to partial functional differential equations . In: Discrete and Continuous Dynamical Systems - Series B, 2017, 3127 -3144
2016Matthias Geissert, Matthias Hieber, Thieu Huy Nguyen: A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems. In: Archive for Rational Mechanics and Analysis , 2016, 1095 -1118
2016Thieu Huy Nguyen, Viet Duoc Trinh and Xuan Khanh Dinh: Attraction Property of Admissible Integral Manifolds and Applications to Fisher-Kolmogorov Model. In: Taiwanese Journal of Mathematics , 2016, 365-385
2016Thieu Huy Nguyen, Thi Ngoc Ha Vu, Truong Xuan Pham: Boundedness and stability of solutions to semi-linear equations and applications to fluid dynamics. In: Communications on Pure and Applied Analysis , 2016, 2103 -2116
2016Thieu Huy Nguyen, Quy Dang Ngo: Existence, uniqueness and conditional stability of periodic solutions to evolution equations. In: Journal of Mathematical Analysis and Applications , 2016, 1190-1203
2016Thieu Huy Nguyen, Quy Dang Ngo: Periodic solutions to evolution equations: existence, conditional stability and admissibility of function spaces. In: Annales Polonici Mathematici , 2016, 173-195
2016Thieu Huy Nguyen, Xuan Quang Bui: Sectorial operators and inertial manifolds for partial functional differential equations in admissible spaces. In: Applicable Analysis and Discrete Mathematics , 2016, 262-291
2015Thieu Huy Nguyen, Van Bang Pham: Invariant stable manifolds for partial neutral functional differential equations in admissible spaces on a half-line. In: Discrete and Continuous Dynamical Systems - Series B, 2015, 2993-3011
2015Thieu Huy Nguyen, Viet Duoc Trinh: Unstable Manifolds for Partial Functional Differential Equations in Admissible Spaces on the Whole Line. . In: Vietnam Journal of Mathematics, 2015, 37-55
2014Thieu Huy Nguyen, Thi Ngoc Ha Vu Admissibly Integral Manifolds for Semi-linear Evolution Equations. In: Annal. Pol. Math., 2014, 127-163
2014Thieu Huy Nguyen, Van Bang Pham: Dichotomy and positivity of neutral equations with nonautonomous past. In: Appl. Anal. Discrete Math. , 2014, 224-242
2014Thieu Huy Nguyen, Viet Duoc Trinh Integral manifolds for partial functional differential equations in admissible spaces on a half-line. In: Journal of Mathematical Analysis and Applications , 2014, 816-828
2014Thieu Huy Nguyen: Periodic Motions of Stokes and Navier-Stokes Flows Around a Rotating Obstacle. In: Archive for Rational Mechanics and Analysis , 2014, 689-703
2014Thieu Huy Nguyen, M. Geissert, M. Hieber: Stability Results for Fluids of Oldroyd-B Type on Exterior Domains. In: J. Math. Phys. , 2014, 091505-1-091505-11
2013The Anh Cung Van Hieu Le Thieu Huy Nguyen: Inertial manifolds for a class of non-autonomous semilinear parabolic equations with finite delay. In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - A , 2013, 483-503
2013Thieu Huy Nguyen: Admissibly inertial manifolds for a class of semi-linear evolution equations. In: Journal of Differential Equations, 2013, 2638-2660
2012Thieu Huy Nguyen, Rainer Nagel Exponentially dichotomous generators of evolution bisemigroups on admissible function spaces. In: Houston Journal of Mathematics, 2012, 549-569
2012Thieu Huy Nguyen, Trinh Viet Duoc: Integral Manifolds and their Attraction Property for Evolution Equations in Admissible Function Spaces. In: Taiwanese J. Math. , 2012, 963-985
2012Thieu Huy Nguyen and Van Bang Pham: Hyperbolicity of solution semigroups for linear neutral differential equations. In: Semigroup Forum, 2012, 216-228
2012Thieu Huy Nguyen: Inertial manifolds for semi-linear parabolic equations in admissible spaces. In: Journal of Mathematical Analysis and Applications , 2012, 894-909
2012Thieu Huy Nguyen, Thi Ngoc Ha Vu, and Phi Ha: Integral manifolds for semilinear evolution equations and admissibility of function spaces. In: Ukr. Math. J. , 2012, 881-911
2010Thieu Huy Nguyen and Trinh Viet Duoc: Robustness of Dichotomy of Evolution Equations under Admissible Perturbations on a Half-line. In: International Journal of Evolution Equations, , 2010, 57-73
2010Thieu Huy Nguyen and Ha Phi: Discretized Characterizations of Exponential Dichotomy of Linear Skew-Product Semiflows over Semiflows. In: Journal of Mathematical Analysis and Applications , 2010, 46-57
2009Thieu Huy Nguyen: Invariant manifolds of admissible classes for semi-linear evolution equations. In: Journal of Differential Equations , 2009, 1820-1844
2009Thieu Huy Nguyen: Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line. In: Journal of Mathematical Analysis and Applications , 2009, 372-386
2007Thieu Huy Nguyen: Existence and Robustness of Exponential Dichotomy of Linear Skew-Product Semiflows over Semiflows. In: Journal of Mathematical Analysis and Applications , 2007, 731-752
2006Thieu Huy Nguyen: Exponential Dichotomy of Evolution Equations and Admissibility of Function Spaces on a Half-line. In: Journal of Functional Analysis, 2006, 330-354
2006Thieu Huy Nguyen and Vu Thi Ngoc Ha: Exponential dichotomy of difference equations in lp-phase spaces on the half-line. In: Advances in Difference Equations, 2006, 1-14
2004Thieu Huy Nguyen: Exponentially dichotomous operators and exponential dichotomy of evolution equations on the half-line. In: Integral Equations and Operator Theory , 2004, 497-510
2004Thieu Huy Nguyen: Resolvents of operators and partial functional differential equations with non-autonomous past. In: Journal of Mathematical Analysis and Applications , 2004, 301 -316
2003Rainer Nagel and Thieu Huy Nguyen: Linear neutral partial differential equations: a semigroup approach. In: International Journal of Mathematics and Mathematical Science, 2003, 1433 -1446
2001Nguyen Van Minh and Thieu Huy Nguyen: Characterizations of dichotomies of evolution equations on the half-line. In: Journal of Mathematical Analysis and Applications , 2001, 28 -44
2001Thieu Huy Nguyen and Nguyen Van Minh,: Exponential dichotomy of difference equations and application to evolution equations on the half-line. In: Computer & Mathematics with Applications, 2001, 301-311