Research
Research interests
Regularity theory for PDEs
Numerical methods for PDEs
Computational fluid dynamics
Harmonic analysis
Research grants
101.02-2021.17, research member (PI: M.-P. Tran), National Foundation for Science & Technology Development (NAFOSTED), Vietnam, 2023-2025.
B2023-SPS-01, PI, Ministry of Education and Training research funding, Vietnam, 2023-2025.
B2022-SPS-02, Co-PI (Lead PI: Bui The Quan), Ministry of Education and Training research funding, Vietnam, 2022-2024. (in progress)
CS.2022.19.19TĐ, PI, Ho Chi Minh City University of Education Foundation for Science and Technology, Vietnam, 2022-2024. (completed)
B2023-CTT-01, research member (PI: M.-P. Tran), Ministry of Education and Training research funding, VIASM, Vietnam, 2023-2025.
FOSTECT.2022.02, research member (PI: M.-P. Tran), Basic Research Program, Ton Duc Thang University, Vietnam, 2022-2023.
CS.2021.19.02TĐ, PI, Ho Chi Minh City University of Education Foundation for Science and Technology, Vietnam, 2021-2023.
B2021-SPS-01-T, PI, Ministry of Education and Training research funding, Vietnam, 2021-2023.
CS2019.19.40TĐ, PI, Basic Research Program in Natural Sciences, Ho Chi Minh City University of Education, Vietnam, 2019-2021.
CS2018.19.02TĐ, PI, Basic Research Program in Natural Sciences, Ho Chi Minh City University of Education, Vietnam, 2018-2020.
B2017-SPS-12, PI, Ministry of Education and Training research funding, Vietnam, 2017-2020.
CS2016.19.17, PI, Basic Research Program in Natural Sciences, Ho Chi Minh City University of Education, Vietnam, 2016-2017.
CS2015.19.61, PI (Principal investigator), Basic Research Program in Natural Sciences, Ho Chi Minh City University of Education, Vietnam, 2015-2016.
Selected papers
M.-P. Tran, T.-N. Nguyen, H.-N. Nguyen, Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings, Nonlinear Analysis: Real World Applications, 77 (2024), 104049, 25 pages. [link]
M.-P. Tran, T.-N. Nguyen, P.-N. Huynh, Calderón-Zygmund-type estimates for singular quasilinear elliptic obstacle problems with measure data, Studia Mathematica, 273 (3) (2023), 287-319. [link]
M.-P. Tran, T.-N. Nguyen, L.T.N. Pham, T.T.T. Dang, Weighted Lorentz estimates for non-uniformly elliptic problems with variable exponents, Manuscripta Mathematica, 172 (3-4) (2023), 1227–1244. [link]
T.-N. Nguyen, M.-P. Tran, N.-T.-N. Tran, Regularity estimates for stationary Stokes problem in some generalized function spaces, Zeitschrift für angewandte Mathematik und Physik, 74 (1) (2023), 24 pages. [link]
M.-P. Tran, T.-N. Nguyen, A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data, Studia Mathematica, 263 (3) (2022), 323-338. [link]
M.-P. Tran, T.-N. Nguyen, Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data, Nonlinear Analysis, 214 (2022), 112613, 26 pages. [link]
M.-P. Tran, T.-N. Nguyen, Pointwise gradient bounds for a class of very singular quasilinear elliptic equations, Discrete and Continuous Dynamical Systems - Series A, 41 (9) (2021), 4461-4476. [link]
T.-N. Nguyen, M.-P. Tran, Level-set inequalities on fractional maximal distribution functions and applications to regularity theory, Journal of Functional Analysis, 280 (1) (2021), 108797, 47 pages. [link]
M.-P. Tran, T.-N. Nguyen, Global Lorentz estimates for non-uniformly nonlinear elliptic equations via fractional maximal operators, Journal of Mathematical Analysis and Applications, 501 (1) (2021), 124084, 30 pages. [link]
M.-P. Tran, T.-N. Nguyen, New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data, Journal of Differential Equations, 268 (4) (2020), 1427-1462. [link]
M.-P. Tran, T.-N. Nguyen, Lorentz-Morrey global bounds for singular quasilinear elliptic equations with measure data, Communications in Contemporary Mathematics, 22 (5) (2020), 1950033, 30 pages. [link]
M.-P. Tran, T.-N. Nguyen, Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations, Comptes Rendus Mathematique, 357 (8) (2019), 664-670. [link]
D.-L. Nguyen, T.-N. Nguyen, M.-P. Tran, A Galerkin approximation for integro-differential equations in electromagnetic scattering from a chiral medium, Applicable Analysis, 96 (1) (2017), 159-172. [link]
A. Lefebvre-Lepot, B. Merlet, T.-N. Nguyen, An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions, Journal of Fluid Mechanics, 769 (2015), 369-386. [link]
A.-C. Egloffe, A. Gloria , J.-C. Mourrat, T.-N. Nguyen, Random walk in random environment, corrector equation, and homogenized coefficients: from theory to numerics, back and forth, IMA Journal of Numerical Analysis, 35 (2) (2015), 499-545. [link]
B. Merlet, T.-N. Nguyen, Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds, Differential and Integral Equations, 26 (5/6) (2013), 571-602. [link]