Ph.D Tran Minh Phuong | Khoa Toán


	PH. D. TRAN MINH PHUONG
	Ph. D. 2012
	Lecturer, Researcher, Head of AARG (since 2022)
	Email: tranminhphuong@tdtu.edu.vn Website: https://sites.google.com/site/tranmp86/

A. Education and professional activities

1. Education and degrees

2009 - 2012: PhD in Applied Mathematics, MAPMO, University of Orléans, Orléans, France. Advisors: Maitine BERGOUNIOUX and Renaud PETERI.
2008 - 2009: Master in Applied Mathematics, University of Orléans, Orléans, France. Internship in CEA (French Alternative Energies and Atomic Energy Commission), Paris, France. Advisor: Samuel KOKH.
2004 - 2008: Bachelor in Mathematics, Ho Chi Minh City University of Education, Vietnam.

2. Professional activities

2014-present: Lecturer at Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
2012 - 2014: Postdoctoral Researcher in Applied Mathematics, DMA - École Normale Supérieur, Paris, France. Mentor: Habib AMMARI.

3. Research interests

Mathematical Analysis for PDEs
Functional Analysis
Calculus of Variations
Medical Image Processing (Image segmentation, denoising, contour detection, texture identification).
Inverse Problem (Bio-imaging, Electrolocation, Echolocation, Scattering).
Numerical Analysis.
Optimization
CFDs

4. Conference

2023: Principal investigatorof 101.02-2021.17, National Foundation for Science & Technology Development (NAFOSTED), Vietnam, link.
2023: research memberof B2023-SPS-01, Ministry research funding, Ho Chi Minh city University of Education, Vietnam.
2023:Principal investigator of B2023-CTT-01, Ministry research funding, VIASM, Vietnam, link.
2022:Principal investigator of FOSTECT.2022.02, Basic Research Program, Ton Duc Thang University, Vietnam.
2022:research member of CS.2022.19.19TĐ , Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.
2022:research member of B2022-SPS-02, Ministry research funding, Ho Chi Minh city University of Education, Vietnam.
2021:research member of CS.2021.19.02TĐ, Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.
2021:research member of B2021-SPS-01-T, Ministry research funding, Ho Chi Minh city University of Education, Vietnam.
2019:research member of CS2019.19.40TĐ, Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.
2018:research member of CS.2018.19.02TD, Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.
2017:research member of B2017-SPS-12 , Ministry research funding, Ho Chi Minh city University of Education, Vietnam.
2016:research member of CS2016.19.17, Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.
2015:research member of CS2015.19.61, Basic Research Program in Natural Sciences, Ho Chi Minh city University of Education, Vietnam.

5. Awards

2007:Best University teacher training award. Ho Chi Minh city University of Education, Vietnam.
2008: Best University teacher training award. Ho Chi Minh city University of Education, Vietnam.
2009:Scholarship for Master internship, CEA Saclay, Paris, France.
2009:PhD Fellowship, MAPMO, University of Orléans, Orléans, France.
2011:Best Poster Presentation Award, Congress of SMAI 2011, France.
2017:Publication Award, VIASM, Vietnam, link.
2019:Publication Award, VIASM, Vietnam, link.
2020:Publication Award, VIASM, Vietnam, link.
2021-2022:Research Achievement Award, Ton Duc Thang University, Vietnam.
2023:Best Publication Award (first prize), Ministry of Education and Training & VIASM, Vietnam, link, link, link, link.

6. Conferences

April 2010:Second conference Mathematics and Image processing, Orleans, France.
April 2011:Ecole de Printemp, Martel, France.
May 2011:Congress of SMAI, Plage Guidel, France.
September 2011:15th Austrian-France-German conference on Optimization, Toulouse, France.
June 2012:The Third conference Mathematics and Image Processing, Orleans, France.
June 2012:International Conference on Image Analysis and Recognition (ICIAR 2012), Aveiro, Portugal.
February 2013: Inverse Problems and Imaging, French Mathematical Society (SMF), Institut Henri Poincare, Paris, France.
May 2013:Inverse Problems and Nonlinear Equations, Ecole Polytechnique, Palaiseau, France.
September 2013:Conference en l'honneur de Jean-Pierre Bourguignon, Institut des Hautes Etudes Scientiques, Bures-sur-Yvette, France.
October 2013:Workshop on Waveguides, ENSTA, Palaiseau, France.
December 2015:HỘI THẢO VÀ TẬP HUẤN: Nội dung và Phương pháp giảng dạy Thống kê toán học khu vực phía Nam, Can Tho University, Can Tho city, Vietnam
May 2016:The first international Conference on Applied Mathematics in Engineering and Reliability (ICAMER2016), Ton Duc Thang University, Ho Chi Minh city, Vietnam.
December 2018:International Conference on Mathematics, Ton Duc Thang University Ho Chi Minh city, Vietnam.
January 2019:Conference on Analysis and Applied Mathematics, HUTECH University, Ho Chi Minh city, Vietnam. Link
July 2020: The Asian Mathematical Conference (AMC), Ha Long, Quang Ninh, Vietnam, cancelled due to the tense situation of the Covid-19 pandemic.
May 2022:Trends in Calculus of Variations and PDEs, Jointly organised by University of Sussex, UK and Ghent Analysis & PDE Centre, UGent, Belgium, (An Online Conference On Zoom). Link
May 2023:Workshop on Analysis of Nonlinear PDEs, Ton Duc Thang University, Vietnam, link.
August 2023:VIASM-IAMP Summer School in Mathematical Physics, Quy Nhon 2023, link, link

7. Supervision

Former students:

Graduate:Thu Do, The-Quang Tran, Sang Luong

3. Lương Thanh Sáng, Đánh giá gradient cho một lớp các bài toán elliptic tựa tuyến tính, 08/2022-02/2023, Ton Duc Thang University.

2. Trần Thế Quang, Tính chính quy nghiệm cho phương trình elliptic không đồng nhất, 07/2022-11/2022 , HCM University of Education.

1. Đỗ Thị Thanh Thu, Finite Element method for solving elliptic equations, 01/2021-07/2021, Ton Duc Thang University.

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Undergraduate: Hieu Nguyen, Dung Do, Trinh Bui, Trang Nguyen, Thu Do, Thanh Chau, Nhu Tran, Huy Tran.

8. Trần Gia Huy, Gradient estimates for solutions to a class of quasilinear elliptic equations with variable exponents, 04/2023-07/2023, Ton Duc Thang University.

7. Trần Ngọc Tâm Như, Gradient estimate for steady Stokes system, 04/2022-07/2022, Ton Duc Thang University.

6. Châu Phương Thanh, Fourier transform and its applications, 01/2020 – 07/2020, Ton Duc Thang University.

5. Đỗ Thị Thanh Thu, Finite Difference method for one and two dimensional Poisson’s equation, 08/2017-01/2018, Ton Duc Thang University.

4. Nguyễn Lê Thảo Trang, Finite Difference method for one-dimensional heat equations, 08/2017 – 01/2018, Ton Duc Thang University.

3. Bùi Thị Ngọc Trinh, The approximation integral methods and applications to numerical integration, 01/2016 – 07/2016, Ton Duc Thang University.

2. Đỗ Mỹ Dung, Three-dimensional finite difference method and Applications to PDEs, 08/2015-01/2016, Ton Duc Thang University.

1. Nguyễn Trọng Hiếu, Mathematical Modeling and Numerical methods for Image Segmentation problems: The Active contours model, 12/2014-07/2015, University of Science, VNUHCM.

Student Research Competition:

4. Giang Ly, Vy Nguyen, Nam Vu,Improved gradient estimates for solutions to very singular quasilinear elliptic equations in generalized Lorentz spaces, Ton Duc Thang University.

3. Khanh Tran, Dat Khuu, Global Lorentz estimates for non-uniformly quasilinear elliptic obstacle problems, Ton Duc Thang University.

2. Phung Huynh, Nguyet Dang, Sự hội tụ của một dãy lặp đến điểm bất động chung của ánh xạ co, Ton Duc Thang University.

1. Binh Ly, Dang Nguyen, Anh Ho, Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions, Ton Duc Thang University.

B. Publications

1. Papers

39. M.-P. Tran, T.-N. Nguyen, Q.-V. Tran, P.-N. Huynh, Weighted distribution approach for a class of nonlinear elliptic equations associated to Schr\"odinger-type operators, Monatshefte für Mathematik,accepted.

38. Minh-Phuong Tran, Thanh-Nhan Nguyen, The-Quang Tran,Global bound on the gradient of solutions to p-Laplace type equations with mixed data, Acta Mathematica Scientia, accepted.

37. 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, 104049, 2024, doi.

36. Minh-Phuong Tran, Thanh-Nhan Nguyen, L.-T.-N. Pham, Gradient bounds for non-uniformly quasilinear elliptic two-sided obstacle problems with variable exponents, Journal of Mathematical Analysis and Applications, 531(1), 127776, 2024, doi.

35. Minh-Phuong Tran, Thanh-Nhan Nguyen and Phuoc-Nguyen Huynh,Calderón-Zygmund-type estimates for singular quasilinear elliptic obstacle problems with measure data, Studia Mathematica, 271, 287-319, 2023, doi.

34. Thanh-Nhan Nguyen, Minh-Phuong Tran, N.-T.-N. Tran,Regularity estimates for stationary Stokes problem in some generalized function spaces, Zeitschrift für angewandte Mathematik und Physik, 74(13), 2023, doi.

33. Minh-Phuong Tran and Thanh-Nhan Nguyen, Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications, Nonlinear Analysis: Real World Applications,69, 103750, 2023, doi.

32. 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, 2022, doi.

31. Minh-Phuong Tran and 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), 125928, 2022, doi.

30. Minh-Phuong Tran and Thanh-Nhan Nguyen, Global gradient estimates for very singular quasilinear elliptic equations with non-divergence data, Nonlinear Analysis, 214(3), 112613, 2022,doi.

29. Minh-Phuong Tran and Thanh-Nhan Nguyen, A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data, Studia Mathematica, 263 (3), 323-338, 2022, doi.

28. T.-N. Nguyen, M.-P. Tran, N.-B. Ly, P. T. Huynh, M.-D. Nguyen and Q.-A. Ho, Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions, Acta Mathematica Scientia, 42, 105–126, 2022,doi.

27. T.-N. Nguyen, M.-P. Tran, C.-K. Doan, V.-N. Vo, A gradient estimate related fractional maximal operators for a p-Laplace problem in Morrey spaces, Taiwanese Journal of Mathematics, 25(4), 809–829, 2021, doi.

26. 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), 4461–4476, 2021, doi.

25. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schr\"odinger term, Mathematical Methods in the Applied Sciences, 44(7), 6101-6116, 2021, doi.

24. Minh-Phuong Tran, Thanh-Nhan Nguyen, Gia-Bao Nguyen, Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schr\"odinger term,Journal of Mathematical Analysis and Applications, 496(1), 124806, 2021. doi

23. 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), 108797, 2021. doi

22. Minh-Phuong Tran and Thanh-Nhan Nguyen, Global Lorentz estimates for non-uniformly nonlinear elliptic equations via fractional maximal operator, Special Issue "New developments in non-uniformly elliptic and nonstandard growth problems", Journal of Mathematical Analysis and Applications, 501(1),124084, 2021. doi

21. Thanh-Nhan Nguyen, Minh-Phuong Tran, Lorentz improving estimates for the p-Laplace equations with mixed data, Nonlinear Analysis, 200, 111960, 2020. doi.

20. Thanh-Nhan Nguyen, Minh-Phuong Tran, An endpoint case of the renormalization property for the relativistic Vlasov-Maxwell system, Journal of Mathematical Physics, 61, 071512, 2020. doi

19. Minh-Phuong Tran and Thanh-Nhan Nguyen, A remark on the interpolation inequality between Sobolev spaces and Morrey spaces, Functional Analysis and its Applications, 54(3), pp. 200–207, 2020. doi

18. Minh-Phuong Tran and Thanh-Nhan Nguyen, Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data, Communication in Contemporary Mathematics, Vol. 22, No. 5, 1950033, 2020. doi.

17. Minh-Phuong Tran and 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),1427-1462, 2020. doi

16. Minh-Phuong Tran and 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, pp. 1-12, 2019. doi

15. Minh-Phuong Tran and Thanh-Nhan Nguyen, Generalized good-λ techniques and applications to weighted Lorentz regularity for quasilinear elliptic equations, Comptes Rendus Mathematique, 357(8), 664-670, 2019, doi.

14. Minh-Phuong Tran and Thanh-Nhan Nguyen, Image decomposition using a second-order variational model and wavelet shrinkage, Electronic Letters on Computer Vision and Image Analysis 18(1), 92-107, 2019. doi

13. Minh-Phuong Tran and Thanh-Nhan Nguyen, Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces, Comptes Rendus Mathematique, 357, 59–65, 2019. doi

12. Minh-Phuong Tran and Thanh-Nhan Nguyen, Asymptotic behavior of bounded solutions to a first order gradient-like system, Journal of Advanced Engineering and Computation 3(1), 312 – 319, 2019. doi

11. Minh-Phuong Tran, Good-λ type bounds of quasilinear elliptic equations for the singular case, Nonlinear Analysis, 178, 266-281, 2019. doi

10. M.P. Tran, T.N. Nguyen, Numerical determination of truncation orders in the correction method for Stokes equations, Journal of Advanced Engineering and Computation, Vol.2, Issue 1, 44-54, 2018. doi

9. 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, Vol. 96, No. 1, 159-172, 2017. doi

8. M.P. Tran, T.N. Nguyen, On the convergence of bounded solutions of non homogeneous gradient like systems, Journal of Advanced Engineering and Computation, Vol. 1, Issue 1, 61-67, 2017. doi

7. N. Pal, N. Tran, M.P. Tran, Two-factor hypothesis testing using the Gamma model, In book: Applied Mathematics in Engineering and Reliability, 2016. doi

6. M.P. Tran, T.N. Nguyen, A simple algorithm for Schwarz waveform relaxation methods, Annales Univ. Sci. Pudapest., Sect. Comp. 45, 57 – 74, 2016. doi

5. M. P. Tran, T.N. Nguyen, Asymptotic formulas for the forces and torques of two close particles in a Stokes fluid, Journal of Science 78, HCMC University of Education, Natural Science and Technology, 2015. doi

4. M. P. Tran, T.N. Nguyen, A long time behavior for gradient-like systems under a weak angle condition, Journal of Science 65, HCMC University of Education, Natural Science and Technology, 2015. doi

3. Habib Ammari, Minh-Phuong Tran, Han Wang, Shape identification and classification in echolocation, SIAM Journal on Imaging Sciences, 7(3), 1883-1905, 2014. doi

2. M.P. Tran, R. Petéri, M. Bergounioux, Denoising 3D medical images using a second-order variational model and wavelet shrinkage, Image Analysis and Recognition, Lecture Notes in Computer Science, 7325, 138-145, 2012, doi.

1. M. Bergounioux, M.P. Tran, A second Order Model for 3D-Texture Extraction, Mathematical image processing, Springer proceedings in Mathematics, 5, 41-57, 2011, doi.

2. Books

Giải tích số và ứng dụng (phần cơ bản): Content here, ISBN:978-604-367-011-0, NXB Trường ĐHSP TPHCM, 280 An Dương Vương, Q5, TP.HCM.