| Thông tin chung | |
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Nguyễn Đức Vinh |
| Tiến sĩ | |
| Giảng viên | |
| nguyenducvinh@tdtu.edu.vn | |
1. Education
2018 June to present: Lecturer-Researcher at Tonducthang University.
2016-2018: Postdoc at Cardiff University with professor Nicolas Dirr, Unikted Kingdom.
2014-2015: Postdoc at University Paris-Est Creteil (UPEC) and Ecole normale superieure de Paris with professor Cyril Imbert, France.
2013-2014: Teaching Assistant at INSA de Rennes, France.
2010-2013: PhD student at INSA-IRMAR in Rennes, France. Supervisor: Olivier LEY.
Subject:Large time behavior of solutions of degenerate nonlinear partial differential equations and systems.
Defended on December 06, 2013 with Very Honorable ranking.
2009-2010: Master in Applied Mathematics with excellent ranking , Orleans University, France.
2005-2009: B.S. Mathematics with excellent ranking , Vietnam National University, Ho Chi Minh city, Vietnam.
2. Research interests
Applied mathematics. Nonlinear Partial Differential Equations. Optimal Control. Large Time Behavior and Homogenization. Optimization.
3. Works
1. Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations, with O. Ley (Insa de Rennes), F. Camilli (Rome), P. Loreti (Rome),
{NoDEA Nonlinear Differential Equations Appl. 19, 719-749, 2012.}
Link: http://link.springer.com/
2. Some results in large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
{Journal of Evolution Equations: Volume 14, Issue 2 (2014), Page 299-331}.
Link: http://link.springer.com/
3. Large time behavior for some degenerate parabolic Hamilton-Jacobi equations, with O. Ley (Insa de Rennes)
{Journal de Math\' ematiques Pures et Appliqu\' ees 102, 293-314, 2014.}
Link: http://arxiv.org/abs/1306.0748
4. Gradient bounds for nonlinear degenerate parabolic equations
and application to large time behavior of systems, with O. Ley (Insa de Rennes)
{ Nonlinear Analysis: Theory, Methods and Applications 130, 76-101, 2016.}
Link: http://arxiv.org/abs/1407.3116
5.Lipschitz regularity for nonlinear strictly elliptic equations with arbitrary growth order in gradient variable and applications, with O. Ley (Insa de Rennes).
{ Journal of Differential Equations 263, 4324-4354, 2017.}
Link: https://hal.archives-ouvertes.
6. Effective junction conditions for degenerate parabolic
equations, with C. Imbert (University Paris-Est Creteil, Ecole Normale Superieure).
To appear in Calculus of Variations and Partial Differential Equations.
Link: https://link.springer.com/
7. Some new results on Lipschitz regularizing effect for Parabolic Equations, with Nicolas Dirr (Cardiff University).
Submitted.
8.Moving of interfaces in random media, with Nicolas Dirr (Cardiff University).{ in preparation}.
9.A remark on regularity results for $p$-laplacian equations and applications to long time convergence. { in preparation}.
10. Bounded solutions of steady Hamilton-Jacobi equations and systems. {in preparation}.
4. Teaching
{2018-2019}: Courses: Analysis 1, Differential Equations, Numerical Analysis 2.
{2013-2014}: Teaching Assistant at INSA de Rennes. Duties: 88 hours of teaching (language: French). Courses: Analysis tools for engineers.
{2012-2013}: Teaching Assistant at University of Rennes 1. Duties: 64 hours of teaching (language: French). Courses: Holomorphic Functions, Differential Equations.
{2009-2010}: Teaching Assistant at University of Sciences Ho Chi Minh city. Duties: 48 hours of teaching. Courses: Analysis 1.