Publications
Preprints
46. Minh-Phuong Tran, Thanh-Nhan Nguyen, Thai-Hung Nguyen, Tan-Phuc Nguyen, Tien-Khai Nguyen, Cong-Duy-Nguyen Nguyen, Trung-Hieu Huynh, A new approach to convergence analysis of iterative models with optimal error bounds, 29 pages, submitted, 2024.
45. Minh-Phuong Tran, Thanh-Nhan Nguyen, Existence of weak solutions to borderline double-phase problems with logarithmic convection term, 23 pages, submitted, 2024.
2024
44. Minh-Phuong Tran, Thanh-Nhan Nguyen, Quang-Vinh Tran, Phuoc-Nguyen Huynh, Weighted distribution approach for a class of nonlinear elliptic equations associated to Schrödinger-type operators, Monatshefte für Mathematik, (2024), 25 pages. [link]
43. Minh-Phuong Tran, The-Quang Tran, Thanh-Nhan Nguyen, Global bound on the gradient of solutions to p-Laplace type equations with mixed data, Acta Mathematica Scientia, 44 (4) (2024), 1394-1414. [link]
42. Minh-Phuong Tran, Thanh-Nhan Nguyen, Hong-Nhung 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]
41. Minh-Phuong Tran, Thanh-Nhan Nguyen, Le-Tuyet-Nhi Pham, Gradient bounds for non-uniformly quasilinear elliptic two-sided obstacle problems with variable exponents, Journal of Mathematical Analysis and Applications, 531 (1) (2024), 127776, 26 pages. [link]
2023
40. The-Quang Tran, Thanh-Nhan Nguyen, Regularity results for (p,q)-Laplace type equations in generalized Morrey spaces, HCMUE Journal of Science, 20 (9) (2023), 1499-1512. [link]
39. Minh-Phuong Tran, Thanh-Nhan Nguyen, Phuoc-Nguyen Huynh, Calderón-Zygmund-type estimates for singular quasilinear elliptic obstacle problems with measure data, Studia Mathematica, 273 (3) (2023), 287-319. [link]
38. Minh-Phuong Tran, Thanh-Nhan Nguyen, Le-Tuyet-Nhi Pham, Thi-Thanh-Truc Dang, Weighted Lorentz estimates for non-uniformly elliptic problems with variable exponents, Manuscripta Mathematica, 172 (3-4) (2023), 1227–1244. [link]
37. Thanh-Nhan Nguyen, Minh-Phuong Tran, Ngoc-Tam-Nhu Tran, Regularity estimates for stationary Stokes problem in some generalized function spaces, Zeitschrift für angewandte Mathematik und Physik, 74 (1) (2023), 24 pages. [link]
36. Minh-Phuong Tran, Thanh-Nhan Nguyen, Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications, Nonlinear Analysis: Real World Applications, 69 (2023), 103750, 25 pages. [link]
2022
35. Minh-Phuong Tran, Thanh-Nhan Nguyen, A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data, Studia Mathematica, 263 (3) (2022), 323-338. [link]
34. Minh-Phuong Tran, Thanh-Nhan Nguyen, Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces, Journal of Mathematical Analysis and Applications, 509 (1) (2022), 125928, 26 pages. [link]
33. Minh-Phuong Tran, Thanh-Nhan Nguyen, Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data, Nonlinear Analysis, 214 (2022), 112613, 26 pages. [link]
32. Minh-Phuong Tran, Thanh-Nhan Nguyen, Phuoc-Toan Huynh, Nhu-Binh Ly, Minh-Dang Nguyen, Quoc-Anh Ho, Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions, Acta Mathematica Scientia, 42 (2022), 105-126. [link]
2021
31. Thanh-Nhan Nguyen, Minh-Phuong Tran, Cao-Kha Doan, Van-Nghia Vo, A gradient estimate related fractional maximal operators for a p-Laplace problem in Morrey spaces, Taiwanese Journal of Mathematics, 25 (4) (2021), 809-829. [link]
30. Minh-Phuong Tran, Thanh-Nhan 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]
29. Minh-Phuong Tran, Thanh-Nhan 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]
28. Thanh-Nhan Nguyen, Tran Cat Su, Huynh Phuoc Nguyen, A short proof for level-set inequalities on distribution functions, HCMUE Journal of Science, 18 (6) (2021), 1051-1063. [link]
27. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schrödinger term, Mathematical Methods in the Applied Sciences, 44 (7) (2021), 6101-6116. [link]
26. Minh-Phuong Tran, Thanh-Nhan Nguyen, Gia-Bao Nguyen, Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schrödinger term, Journal of Mathematical Analysis and Applications, 496 (1) (2021), 124806, 18 pages. [link]
25. Thanh-Nhan Nguyen, Minh-Phuong 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]
2020
24. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz improving estimates for the p-Laplace equations with mixed data, Nonlinear Analysis, 200 (2020), 111960, 23 pages. [link]
23. Minh-Phuong Tran, Thanh-Nhan 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]
22. Minh-Phuong Tran, Thanh-Nhan Nguyen, Lorentz-Morrey global bounds for singular quasilinear elliptic equations with measure data, Communications in Contemporary Mathematics, 22 (5) (2020), 1950033, 30 pages. [link]
21. Thanh-Nhan Nguyen, Minh-Phuong Tran, An endpoint case of the renormalization property for the relativistic Vlasov-Maxwell system, Journal of Mathematical Physics, 61 (2020), 071512, 10 pages. [link]
20. Le-Xuan Truong, Thanh-Nhan Nguyen, Nguyen-Ngoc Trong, On boundedness property of singular integral operators associated to a Schrödinger operator in a generalized Morrey space and applications, Acta Mathematica Scientia, 40 (5) (2020), 1171–1184. [link]
19. Minh-Phuong Tran, Thanh-Nhan Nguyen, A remark on the interpolation inequality between Sobolev spaces and Morrey spaces, Functional Analysis and Its Applications, 54 (3) (2020), 200–207. [link]
2019
18. Minh-Phuong Tran, Thanh-Nhan Nguyen, Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations, Comptes Rendus Mathematique, 357 (8) (2019), 664-670. [link]
17. Thanh-Nhan Nguyen, Le Duc Viet, Existence of a renormalized solution to the p-Laplace equation with measure data in Marcinkiewicz spaces, HCMUE Journal of Science, 16 (12) (2019), 982-992. [link]
16. Minh-Phuong Tran, Thanh-Nhan Nguyen, An application of global gradient estimates in Lorentz-Morrey spaces: The existence of stationary solution to degenerate diffusive Hamilton-Jacobi equations, Electronic Journal of Differential Equations, vol. 2019, no. 118, 1-12. [link]
15. Minh-Phuong Tran, Thanh-Nhan Nguyen, Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces, Comptes Rendus Mathematique (C. R. Math. Acad. Sci. Paris), 357 (1) (2019), 59-65. [link]
14. Minh-Phuong Tran, Thanh-Nhan Nguyen, Asymptotic behavior of bounded solutions to a first order gradient-like system, Journal of Advanced Engineering and Computation, 3 (1) (2019), 312–319. [link]
13. Minh-Phuong Tran, Thanh-Nhan Nguyen, Image decomposition using a second-order variational model and wavelet shrinkage, Electronic Letters on Computer Vision and Image Analysis, 18 (1) (2019), 92-107. [link]
2018
12. Minh-Phuong Tran, Thanh-Nhan Nguyen, Numerical determination of truncation orders in the correction method for Stokes equations, Journal of Advanced Engineering and Computation, 2 (1) (2018), 44–54. [link]
2017
11. Dinh-Liem Nguyen, Thanh-Nhan Nguyen, Minh-Phuong Tran, A Galerkin approximation for integro-differential equations in electromagnetic scattering from a chiral medium, Applicable Analysis, 96 (1) (2017), 159-172. [link]
10. Minh-Phuong Tran, Thanh-Nhan Nguyen, On the convergence of bounded solutions of non homogeneous gradient-like systems, Journal of Advanced Engineering and Computation, 1 (1) (2017), 52–57. [link]
2016
9. Minh-Phuong Tran, Thanh-Nhan Nguyen, A simple algorithm for Schwarz waveform relaxation methods, Annales Univ. Sci. Budapest., Sect. Comp., 45 (2016), 57–74. [link]
8. Minh-Phuong Tran, Thanh-Nhan Nguyen, A spectral decomposition in vector spherical harmonics for Stokes equations, Applied Mathematics in Engineering and Reliability, 237–242, 2016. [link]
2015
7. Minh-Phuong Tran, Thanh-Nhan Nguyen, A long time behavior for gradient-like systems under a weak angle condition, HCMUE Journal of Science, 12 (5) (2015), 65-75. [link]
6. Aline. Lefebvre-Lepot, Benoît Merlet, Thanh-Nhan Nguyen, An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions, Journal of Fluid Mechanics, 769 (2015), 369-386. [link]
5. Anne-Claire Egloffe, Antoine Gloria, Jean-Christophe Mourrat, Thanh-Nhan 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]
4. Minh-Phuong Tran, Thanh-Nhan Nguyen, Asymptotic formulas for the forces and torques of two close particles in a Stokes fluid, HCMUE Journal of Science,12 (2) (2015), 78-91. [link]
2014
3. Thanh-Nhan Nguyen, An accurate method for the motion of particles in a Stokes fluid, LAP LAMBERT Academic Publishing, Germany, 2014. [link]
2013
2. Thanh-Nhan Nguyen, Convergence to equilibrium for discrete gradient-like flows and An accurate method for the motion of suspended particles in a Stokes fluid, Dissertation, Ecole Polytechnique, 2013. [link]
1. Benoît Merlet, Thanh-Nhan Nguyen, Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds, Differential and Integral Equations, 26 (5/6) (2013), 571-602. [link]