Thi Tuyen NGUYEN

Research interests

Nonlinear PDEs, viscosity solutions, deterministic and stochastic optimal control, local and nonlocal Hamilton-Jacobi equations, integro-differential operators, large time behavior of solutions, Mean Field Games.

Positions

• From September 2018: Postdoctoral researcher in Applied Mathematics, LMI - INSA de Rouen, France.

Subjects: Hamilton-Jacobi equations on graphs.

Mentor: Professors Nicolas Forcadel (INSA de Rouen, France) and Jalal Fadili (GREYC-ENSICAEN, Caen, France).

• 2017–2018: Postdoctoral researcher in Applied Mathematics, Mathematical Department - University of Padova, Italy.

Subjects: Mean Field Games and PDEs.

Mentor: Professor Martino Bardi, University of Padova, Italy.

• 2012–2013: Teaching Assistant, Department Analysis, Faculty of Mathematics and Computer Science, University of Science, VNU - HCM, Viet Nam.

Education

• 2013-2016: Ph.D. in Applied Mathematics, IRMAR - University of Rennes 1, France.

Ph.D. thesis: Long time behavior of solutions of some first and second order, local and nonlocal Hamilton-Jacobi equations in non-periodic settings.

Distinction awarded: Très Honorable (Highly Honorable).

Supervisors: Professors Emmanuel Chasseigne (François Rabelais University, France) and Olivier Ley (INSA de Rennes, France).

Referees: Professors Annalisa Cesaroni (Padova) and Nicolas Forcadel (INSA de Rouen).

• 2012-2013: Master 2 in Applied Mathematics, François Rabelais University, Tours, France.

Internship at François Rabelais University, Tours, France.

Master thesis: Stochastic Lyapounov Methods for Diffusions.

Supervisor: Professor Emmanuel Chasseigne.

• 2008-2012: B.S. Honor program in Mathematics, University of Science, Viet Nam national university-Ho Chi Minh city, Ho Chi Minh, Viet Nam.

Bachelor thesis: Time Series.

Supervisor: Professor Minh Duc Duong, University of Science, Ho Chi Minh, Viet Nam.

Publications

[3] Guy Barles, Olivier Ley, Thi Tuyen Nguyen and Thanh Viet Phan, Long time behavior of unbounded solutions of first order Hamilton-Jacobi equations in R^N , Asymptotic Analysis, 112, 1-22, 2019. (pdf)

[2] Emmanuel Chasseigne, Olivier Ley and Thi Tuyen Nguyen, A priori lipschitz regularity of solutions of second order, local and nonlocal Hamilton-Jacobi equations in non-periodic settings, To appear in Rev. Mat. Iberoam., 2019. (pdf)

[1] Thi Tuyen Nguyen, Long time behavior of solutions of second order, local and nonlocal Hamilton-Jacobi equations in unbounded settings, Comm. Pure and Appl. Analysis, 18(3): 999-1021, 2019. (pdf)

Ph.D. thesis, Long time behavior of solutions of some first and second order, local and nonlocal Hamilton-Jacobi equations in non-periodic settings, University of Rennes 1, 2016. ( pdf).

Seminars and Conferences

• September 2017: Seminar at Department of Mathematics, Università di Padova, Italy.
• May 2017: Workshop for Young Researchers in Mathematics, Institute of Mathematics Simion Stoilow, Bucharest, Romania.
• June 2016: Hamilton-Jacobi Equations: new trends and applications, Rennes, France.
• March 2016: SMAI-MODE, Toulouse, France.