Publications

 

32 Gustavo Ponce, Avy Soffer, Minh-Binh Tran, Luis Vega. A Hardy uncertainty principle in kinetic theory.(In preparation).

31 Minh-Binh Tran. Nonlinear approximation theory for the homogeneous Boltzmann equation III. PDF.

30 Minh-Binh Tran. Nonlinear approximation theory for the homogeneous Boltzmann equation II. PDF.

29 Minh-Binh Tran. Nonlinear approximation theory for the homogeneous Boltzmann equation I. PDF

28 Shi Jin, Minh-Binh Tran, Enrique Zuazua. A local sensitivity analysis for a linear hyperbolic relaxation system with random initial input.

27 Shi Jin, Minh-Binh Tran, Enrique Zuazua. A local sensitivity analysis for viscous conservation laws with random initial input.

26 Pierre Germain, Alexandru D. Ionescu, Minh-Binh Tran. Optimal local well-posedness theory for the kinetic wave equationPDF

25 Linda Reichl, Minh-Binh Tran. Kinetic models for very low temperature dilute Bose gases. PDF

24 Shi Jin, Minh-Binh Tran. Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. PDF.

23 Irene M. Gamba, Leslie M. Smith, Minh-Binh Tran. On the wave turbulence theory for stratified flows in the ocean.  PDF.

22 Avy Soffer, Minh-Binh Tran. On coupling kinetic and Schrödinger equations. PDF.

21 Gheorghe Craciun, Minh-Binh Tran. A toric dynamical system approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. PDF.

20 Toan Nguyen, Minh-Binh Tran. Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons. PDF.

19 Ricardo Alonso, Irene M. Gamba, Minh-Binh Tran. The Cauchy problem for the quantum Boltzmann equation for bosons at very low temperature. PDF.

18 Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh. An improved iterative HDG approach for partial differential equations. PDF

17 Toan Nguyen, Minh-Binh Tran. On the kinetic equation in Zakharov’s wave turbulence theory for capillary waves. SIAM Journal on Mathematical Analysis, Accepted

16 Avy Soffer, Minh-Binh Tran. On the dynamics of finite temperature trapped Bose gases. Advances in Mathematics, 325 (2018) pp. 533-607

15 Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh. An Iterative HDG Framework for Partial Differential Equations. SIAM Journal on Scientific Computing, 39 (2017), no. 5, S782–S808

14 Erich Foster, Jerome Loheac, Minh-Binh Tran. A Structure Preserving Scheme for the Kolmogorov Fokker Planck Equation.  Journal of Computational Physics 330 (2017), 319-339.

13 Minh-Binh Tran. Convergence to Equilibrium of Some Kinetic Models. Journal of Differential Equations, Volume 255, Issue 3, 1 August 2013, Pages 405-440.

12 Miguel Escobedo, Minh-Binh Tran. Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Kinetic and Related Models, Volume 8, Issue 3, 2015 Pages 493-531.

11 Jose-Antonio Carrillo, Simona Mancini, Minh-Binh Tran. On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience. Journal of Elliptic and Parabolic Equations (Invited Paper), 1 (2015), 271-279.

10 Luca Gerardo-Giorda, Minh-Binh Tran. Parallelizing the Kolmogorov-Fokker-Planck equation. ESAIM Mathematical Modelling and Numerical Analysis, 49 (2015), no. 2, 395-420.

9 Minh-Binh Tran. Parallel Schwarz waveform relaxation algorithm for an n-dimensional semilinear heat equation. ESAIM Mathematical Modelling and Numerical Analysis, 48 (2014) pp795-813.

8 Minh-Binh Tran. The behavior of domain decomposition methods when the overlapping length is large. Central European Journal of Mathematics (Invited Paper), October 2014, Volume 12, Issue 10, pp 1602-1614.

7 Minh-Binh Tran. On domain decomposition methods for optimal control problems. Applications of Mathematics (Invited Paper),  207-214, Academy of Sciences of the Czech Republic Institute of Mathematics, Prague, 2013.

6 Minh-Binh Tran. Overlapping domain decomposition: convergence proofs. Domain Decomposition Methods in Science and Engineering XX, Springer Lecture Notes in Computational Science and Engineering, Volume 91, 2013, pp 493-500.

5 Minh-Binh Tran. Overlapping optimized Schwarz methods for parabolic equations in ndimensions.Proceedings of the American Mathematical Society,  141 (2013), 1627-1640.

4 Minh-Binh Tran. A parallel four step domain decomposition scheme for coupled forward backward stochastic differential equations. Journal de Mathématiques Pures et Appliquées, 96 (2011) 377-394.

3 Minh-Binh Tran. Parallel Schwarz waveform relaxation method for a semilinear heat equation in a cylindrical domain. Comptes Rendus Mathematiques, 348 (2010) 795–799.

UNDERGRADUATE PUBLICATIONS

2 Minh-Binh Tran, Duong Minh Duc, Nguyen Duy Thanh. On partially elliptic and coercive boundary problems. Vietnam J. Math., 37(2-3):255–272, 2009.

TECHNICAL REPORTS

1 Minh-Binh Tran. Optimized parameters of optimized Schwarz waveform relaxation methods for the heat equation. (185 pages), available on HAL : hal-00589252.

COLLABORATORS
  1. Ricardo Alonso, Department of Mathematics, Pontificia Universidad Catolica at Rio de Janeiro, Brazil
  2. Stanislav Boldyrev, Department of Physics, University of Wisconsin-Madison, USA
  3. Tan Bui-Thanh, Department of Aerospace Engineering and Engineering Mechanics and Insitute for Computational Engineering and Sciences, University of Texas-Austin, USA
  4. Jose-Antonio Carrillo, Department of Mathematics, Imperial College London, UK
  5. Gheorghe Craciun, Department of Mathematics and Department of Biomolecular Chemistry University of Wisconsin-Madison, USA
  6. Miguel Escobedo, Departamento de Matematicas, Universidad del Pais Vasco, Spain
  7. Erich Foster, Sandia National Labs, USA
  8. Irene Gamba, Department of Mathematics and Insitute for Computational Engineering and Sciences, University of Texas-Austin, USA
  9. Luca Gerardo-Giorda, Basque Center for Applied Mathematics, Spain
  10. Pierre Germain, Courant Institute of Mathematical Sciences, New York University, USA
  11. Alexandru D. Ionescu, Department of Mathematics, Princeton University, USA
  12. Shi Jin, Department of Mathematics, University of Wisconsin-Madison, USA
  13. Sriramkrishnan Muralikrishnan, Department of Aerospace Engineering and Engineering Mechanics and Insitute for Computational Engineering and Sciences, University of Texas-Austin, USA
  14. Jerome Loheac, Centre National de la Recherche Scientifique, Laboratoire des Sciences du Numérique de Nantes, France
  15. Yuri Lvov, Rensselaer Polytechnic Institute, Troy, NY
  16. Simona Mancini, Department of Mathematics, Université d’Orléans, France
  17. Toan Nguyen, Department of Mathematics, Penn State University, USA
  18. Gustavo Ponce, Department of Mathematics, University of California Santa Barbara, USA
  19. Linda Reichl, Department of Physics and Center for Complex Quantum Systems, University of Texas-Austin, USA
  20. Leslie M. Smith, Department of Mathematics and Department of Engineering Physics, University of Wisconsin-Madison, USA
  21. Avy Soffer, Mathematics Department, Rutgers University, USA
  22. Luis Vega, Basque Center for Applied Mathematics and Departamento de Matematicas, Universidad del Pais Vasco, Spain
  23. Enrique Zuazua, Mathematics Department, Universidad Autonoma de Madrid and DeustoTech, Spain