Nguyen Minh Tri
Full Professor, Doctor of Science

Department of Mathematical Analysis
Research interests: Partial differential equations; Fluid mechanics


Address
Office: Building A5, Room 306
Tel: +84 (024 38361121/ 510
Email: triminh AT math.ac.vn

Born in: Hanoi

Education and academic degrees:

  • Bachelor/Master: 1986,  Moscow State University, Moscow, Russia.
  • PhD: 1990, Moscow State University, Moscow, Russia.
  • Doctor of Science: 2009, Moscow State University, Moscow, Russia. 
  • Associate Professor: 2003
  • Full Professor: 2015


Research areas: Partial differential equations; Harmonic analysis; Several complex variables; Calculus of variations; Fluid mechanics.

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Nguyen Quynh Nga, Nguyen Minh Tri, Dang Anh Tuan, Pólya–Szegö type inequality and imbedding theorems for weighted Sobolev spaces, Analysis and Mathematical Physics, Volume 14, article number 20, (2024), (SCI-E, Scopus).
2Nguyen Quynh Nga, Nguyen Minh Tri, Đặng Anh Tuấn , Existence and nonexistence of nontrivial solutions for, degenerate elliptic equations in a solid torus, Journal of Elliptic and Parabolic Equations, 9 (2023) 401-417, ESCI
3V. T. T. Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains, Mathematische Nachrichten. 294 (2021) no. 12, 201900407. (SCI-E, Scopus).
4Dương Trọng Luyện, Nguyen Minh Tri, Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator, Complex Variables and Elliptic Equations 65 (2020), 2135-2150. (SCI-E, Scopus).
5V.T.T. Duong, Dao Quang Khai, Nguyen Minh Tri, Time decay rates of the L^3-Norm for strong solutions to the Navier-Stokes equations in {\mathbb R^3}, Journal of Mathematical Analysis and Applications, 485 (2020) 123864, SCI(-E); Scopus.
6Ngo Van Giang, Nguyen Minh Tri, On a criterion for regularity of Leray weak solutions to the Navier - Stokes equations involving one directional derivative, Advances in Evolution Equations, Chap. 11, 205-214, 2019.
7Nguyen Minh Tri, Duong Trong Luyen, On the existence of multiple solutions to boundary value problems for semilinear elliptic degenerate operators, Complex Variables and Elliptic Equations An International Journal, 2018, SCI(-E); Scopus.
8Duong Trong Luyen, Nguyen Minh Tri, Existence of infinitely many solutions for semilinear degenerate Schrödinger equations, Journal of Mathematical Analysis and Applications 461 (2018), 1271-1286, SCI(-E); Scopus.
9Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with data in homogeneous Sobolev–Lorentz spaces, Nonlinear Analysis, 149 (2017), 130-145, SCI(-E); Scopus.
10Duong Trong Luyen, Nguyen Minh Tri, Large-time behavior of solutions to degenerate damped hyperbolic equations, Siberian Mathematical Journal, 57 (2016), 632–649, SCI(-E); Scopus.
11Duong Trong Luyen, Nguyen Minh Tri, Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator, Annales Polonici Mathematici, 117(2016), 141-161, SCI(-E); Scopus.
12Dao Quang Khai, Nguyen Minh Tri, On the Initial Value Problem for the Navier-Stokes Equations with the Initial Datum in Critical Sobolev and Besov Spaces, Journal of Mathematical Sciences University of Tokyo, 23(2016), 499-528.
13Dao Quang Khai, Nguyen Minh Tri, Well-posedness for the Navier–Stokes equations with datum in Sobolev–Fourier–Lorentz spaces, Journal of Mathematical Analysis and Applications, 437 (2016), 754–781, SCI(-E); Scopus.
14Dao Quang Khai, Nguyen Minh Tri, On the Hausdorff dimension of the singular set in time for weak solutions to the nonstationary Navier-Stokes equations on torus, Vietnam Journal of Mathematics, 43 (2015), 283-295, Scopus.
15Duong Trong Luyen, Nguyen Minh Tri, Existence of solutions to boundary-value problems for semilinear Δγ differential equations, Mathematical Notes, 97(2015), 73-84, SCI(-E), Scopus.
16Dao Quang Khai, Nguyen Minh Tri, Solutions in mixed-norm Sobolev–Lorentz spaces to the initial value problem for the Navier–Stokes equations, Journal of Mathematical Analysis and Applications 417 (2014) 819-833, SCI(-E); Scopus.
17Nguyen Minh Tri, Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators, Nonlinear Differential Equation 20 (2013),1213-1224, SCI(-E); Scopus.
18Dao Quang Khai, Nguyen Minh Tri, On general axisymmetric explicit solutions for the Navier-Stokes equations,  International Journal of Evolution Equations,  6 (2103), 325 - 336.
19Nguyen Minh Tri, D. T. Luyen, On boundary value problem for semilinear degenerate elliptic differential equations,  AIP Conference Proceedings, DOI 10. 1063/1. 4724 110, 1 -- 6.
20Nguyen Minh Tri, P. T. Thuy, Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations,  Nonlinear Differential Equations and Applications NoDEA, 19 (2012), 279 -- 300, SCI(-E); Scopus.
21Nguyen Minh Tri, T. T. Khanh, On the analyticity of solutions to semilinear differential equations degenerated on a submanifold, Journal of Differential equations, 249 (2010), 2440 -- 2475, SCI(-E); Scopus.
22Nguyen Minh Tri, V. T. T. Hien, Fourier transform and smoothness of solutions of a class of semilinear degenerate elliptic equations with double characteristics, Russian Journal of Mathematical Physics, 17 (2010), 192 -- 206, SCI(-E); Scopus.
23Nguyen Minh Tri, Recent results in the theory of semilinear elliptic degenerate differential equations,  Vietnam J. Math., 37 (2009), 387-397.
24Nguyen Minh Tri, P. T. Thuy, The phenomenon of critical exponents of boundary value problem for semilinear degenerate elliptic differential equations, In: Qualitative Theory of Differential Equations and Applications, MESI Institute Publisher, Moscow 2009, 167 -- 171.
25Vo Thi Thu Hien, Nguyen Minh Tri, Analyticity of solutions of semi-linear equations with double characteristics, J. Math. Anal. Appl., 337 (2008), 1249 - 1260.
26Nguyen Minh Tri, Semilinear hypoelliptic differential operators with multiple characteristics, Trans. Amer. Math. Soc. 360 (2008), 3875 - 3907.
27Nguyen Minh Tri, Pseudodifferential operators of second order with sign-changed characteristic form. In: Advances in deterministic and stochastic analysis, 3 - 13, World Sci. Publ., Hackensack, NJ, 2007.
28Nguyen Minh Tri, On the Gevrey regularity of solutions of semilinear Kohn-Laplacian on the Heisenberg group. In: Abstract and applied analysis, 335 - 353, World Sci. Publishing, River Edge, NJ, 2004.
29Nguyen Minh Tri, New argument for Gevrey regularity of solutions of nonlinear elliptic PDEs, Russ. J. Math. Phys. 10 (2003), 353 - 358.
30Nguyen Minh Tri, N. T. C. Thuy, Some existence and nonexistence results for boundary value problems for semilinear elliptic degenerate operators. Russ. J. Math. Phys. 9 (2002), N0 3, 365 - 370.
31Nguyen Minh Tri, Gevrey regularity of solutions of semilinear hypoelliptic equations on the plane. In: Microlocal analysis and related topics (Japanese) (Kyoto, 2001). Surikaisekikenkyusho Kokyuroku 1261 (2002), 140 - 149.
32Nguyen Minh Tri, Some examples of nonhypoelliptic infinitely degenerate elliptic differential operators. Mat. Zametki 71 (2002), 567 - 580; English transl.: Math. Notes 71 (2002), N0 3-4, 517 - 529 (in Russian).
33Nguyen Minh Tri, On the Gevrey regularity of solutions of a class of semilinear elliptic degenerate equations on the plane. J. Math. Sci. Univ. Tokyo 9 (2002), 217 - 255.
34Nguyen Minh Tri, On local properties of some classes of infinitely degenerate elliptic differential operators, Rend. Sem. Mat. Univ. Politec. Torino 59 (2001), N0 4, 277 - 288.
35Luigi Rodino, Maria Mascarello, Nguyen Minh Tri, Partial differential operators with multiple symplectic characteristics. In: Partial differential equations and spectral theory (Clausthal, 2000), 293 - 297, Oper. Theory Adv. Appl. 126, Birkhọuser, Basel, 2001.
36Nguyen Minh Chuong, Nguyen Minh Tri, The integral wavelet transform in L^p(\mathbb R^n), Fract. Calc. Journal of Applied Analysis, 3 (2000), 133 - 140. 1(2000), 133 - 140.
37Nguyen Minh Tri, On the analyticity and Gevrey regularity of solutions of semilinear partial differential equations with multiple characteristics. In: Microlocal analysis and PDE in the complex domain (Japanese) (Kyoto, 1998). Surikaisekikenkyusho Kokyuroku No. 1159 (2000), 62 - 73.
38Nguyen Minh Tri, A note on neccesary conditions of hypoellipticity for some classes of differential operators with double characteristics. Kodai Math. J. 23 (2000), 281 - 297.
39Nguyen Minh Tri, Non-smooth solutions for a class of infinitely degenerate elliptic differential operators. Vietnam J. Math. 28 (2000), No 2, 159 - 172.
40Nguyen Minh Chuong, Hà Tiến Ngoạn, Nguyen Minh Tri, L. Q. Trung, Partial differential equations (in Vietnamese) – Phương trình đạo hàm riêng. NXB Giáo dục, Hà Nội, 2000, 331 trang.
41Nguyen Minh Tri, On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator. Rend. Sem. Mat. Univ. Politec. Torino 57 (1999), 37 - 57.
42Nguyen Minh Tri, Remark on non-uniform fundamental solutions and non-smooth solutions of some classes of differential operators with double characteristics. J. Math. Sci. Univ. Tokyo 6 (1999), No 3, 437 - 452.
43Nguyen Minh Tri, Critical Sobolev exponent for hypoelliptic operators. Acta Math. Vietnam. 23 (1998),  83 - 94.
44Nguyen Minh Tri, On Grushin's equation. Mat. Zametki 63 (1998), 95 - 105.
45Marta Calanchi, Luigi Rodino, Nguyen Minh Tri, Solutions of logarithmic type for elliptic and hypoelliptic equations. Ann. Univ. Ferrara Vol. XLI (1996), 111 - 127.
46Nguyen Minh Chuong, L. Q. Trung, Nguyen Minh Tri, Theory of partial differential equations (in Vietnamese) – Lý thuyết các phương trình đạo hàm riêng. NXB Khoa học Kỹ thuật, Hà Nội, 1995, 288 trang.
47Nguyen Minh Chuong, L. Q. Trung, Nguyen Minh Tri, Theory of partial differential equations (in Vietnamese) – Lý thuyết phương trình đạo hàm riêng. NXB Khoa học Kĩ thuật, Hanoi, 1994, 288 trang.
48Nguyen Minh Tri, A bifurcation of multiple eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole. J. Math. Sci. Univ. Tokyo 1 (1994), N0 3, 567 - 587.
49Nguyen Minh Tri, On positive solusions of Emdem-Fayler equations in a cone-like domain. Differ. Uravn. 4 (1994), 659 - 664 (in Russian).
50Nguyen Minh Tri, Yu. V. Egorov, On a class of maximally hypoelliptic operators with noninvolutive characteristics sets. Trudy Sem. Petrovsk. No. 17 (1994), 3 - 26, . Translated in J. Math. Sci. 75 (1995), N0 3, 1615 - 1630 (in Russian).
51Nguyen Minh Tri, On the property of global hypoellipticity of a differential operator. Mat. Zametki 49 (1991), No 2, 147 - 149 (in Russian), translation in Math. Notes 49 (1991), 221–223..
52Nguyen Minh Tri, On some classes of pseudo-differential hypoelliptic operators Ph. D. Thesis, Moscow State Lomonosov University, 1990 (in Russian).
53Nguyen Minh Tri, Fourth order's hypoelliptic pseudodifferental operators with noninvolutive characteristics sets. Vestnik M. S. U., N. 2 (1990), 71 - 73 (in Russian).
54Nguyen Minh Tri, Yu. V. Egorov, Maximally hypoelliptic operators with noninvolutive characteristics sets. Dok. Akad. Nauk. USSR. 314 (1990), No 5, 1059 - 1061 (in Russian).
55Nguyen Minh Tri, On the global hypoellipticity of high order's differential operators. Differ. Uravn. 26 (1990), 687 - 692 (in Russian).
56Nguyen Minh Tri, On the asymptotics of double eigenvalues and eigenfunctions for boundary value problems in a domain with a small hole. Vestnik M. S. U. 4 (1987), 17 - 21, (in Russian).
Preprints
1IMH20221105, Nguyen Minh Tri, D. A. Tuan, Nguyen Quynh Nga, Existence and nonexistence of nontrivial solutions for degenerate elliptic equations on a torus, I
2IMH20221104, Nguyen Quynh Nga, Nguyen Minh Tri, D. A. Tuan, Polya - Szego Type Inequality and Imbedding Theorems for Weighted Sobolev Spaces
3IMH20191104, V. T. T. Duong, Dao Quang Khai, Nguyen Minh Tri, On regularity of weak solutions for the Navier-Stokes equations in general domains
4IMH20151207, Dao Quang Khai, Nguyen Minh Tri, The existence and space-time decay rates of strong solutions to Navier-Stokes Equations in weighed $L^\infty \left( {|x|^\gamma dx} \right) \cap L^\infty \left( {|x|^\beta dx} \right)$ spaces
5IMH20151206, Dao Quang Khai, Nguyen Minh Tri, The existence and decay rates of strong solutions for Navier-Stokes Equations in Bessel-potential spaces