[47] Gigliola Staffilani, Minh-Binh Tran. Condensation and non-condensation times for 4-wave kinetic equations PDF

[46] Gigliola Staffilani, Minh-Binh Tran. On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations PDF

[45] Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran, Emmanuel Trélat. Internal Control of The Transition Kernel for Stochastic Lattice Dynamics PDF

[44] Steven Walton, Minh-Binh Tran. Numerical Schemes for 3-Wave Kinetic Equations: A Complete Treatment of the Collision Operator PDF

[43] Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran, Emmanuel Trelat. Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat PDF

[42] Amirali Hannani, Matthew Rosenzweig, Gigliola Staffilani, Minh-Binh Tran. On the wave turbulence theory for a stochastic KdV type equation — Generalization for the inhomogeneous kinetic limit (109 pages) PDF

[41] Benno Rumpf, Avy Soffer, Minh-Binh Tran. On the wave turbulence theory: ergodicity for the elastic beam wave equation PDF

[40] Gigliola Staffilani, Minh-Binh Tran. On the wave turbulence theory for a stochastic KdV type equation (226 pages) PDF

[39] Ricardo Alonso, Irene M. Gamba, Minh-Binh Tran. The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature . PDF.

[38] Steven Walton, Minh-Binh Tran, Alain Bensoussan. A deep learning approximation of non-stationary solutions to wave kinetic equations Applied Numerical Mathematics, 199 (2024), 213–226.

[37] Avy Soffer, Chris Stucchio, Minh-Binh Tran. Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition (Book) Springer Nature Singapore 2023

[36] Steven Walton, Minh-Binh Tran. A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations SIAM Journal on Scientific Computing, 45 (4), B467-B492, 2023

[35] Alejandro Aceves, Ricardo Alonso, Minh-Binh Tran. Wave turbulence and collective behavior models for wave equations with short- and long-range interactions Communications in Optimization Theory, Special Issue in the memory of Roland Glowinski, 2022

[34] Alain Bensoussan, Yiqun Li, Dinh Phan Cao Nguyen, Minh-Binh Tran, Phillip Yam, Xiang Zhou. Machine Learning and Control Theory. Handbook of Numerical Analysis, Volume 23 (Invited Paper) (2022)

[33] Gheorghe Craciun, Minh-Binh Tran. A reaction network approach to the convergence to equilibrium of quantum Boltzmann equations for Bose gases. ESAIM: Control, Optimisation and Calculus of Variations – Special Issue in honor of Enrique Zuazua(Invited Paper), 27 83 (2021)

[32] Minh-Binh Tran, Yves Pomeau. On a thermal cloud – Bose-Einstein Condensate coupling system.  European Physical Journal Plus (Invited Paper) 136, 502 (2021)

[31] Alain Bensoussan, Fatih Gelir, Viswanath Ramakrishna, Minh-Binh Tran, Identification of linear dynamical systems and machine learning. Journal of Convex Analysis – Special Issue in Honor of Umberto Mosco (Invited Paper) 28 No. 2, 311-328, (2021)

[30] Avy Soffer, Minh-Binh Tran. On the energy cascade of 3-wave kinetic equations: Beyond Kolmogorov-Zakharov solutions Communications in Mathematical Physics, 376, 2229–2276 (2020)

[29] Pierre Germain, Alexandru D. Ionescu, Minh-Binh Tran. Optimal local well-posedness theory for the kinetic wave equation. Journal of Functional Analysis Volume 279, Issue 4, 108570 (2020)

[28] Minh-Binh Tran, Gheorghe Craciun, Leslie M. Smith, Stanislav Boldyrev. A reaction network approach to the theory of acoustic wave turbulence. Journal of Differential Equations Volume 269, Issue 5, Pages 4332-4352 (2020)

[27] Minh-Binh Tran, Yves Pomeau. Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework. Physical Review E 101 (3), 032119 (2020)

[26] Irene M. Gamba, Leslie M. Smith, Minh-Binh Tran. On the wave turbulence theory for stratified flows in the ocean.  M3AS: Mathematical Models and Methods in Applied Sciences. Vol. 30, No. 1 105–137 (2020)

[25] Yves Pomeau, Minh-Binh Tran. Statistical Physics of Non Equilibrium Quantum Phenomena, Lecture Notes in Physics, Volume 967, Springer, Cham (Book) (2019) BOOK REVIEW BY ZBMATH

[24] Toan Nguyen, Minh-Binh Tran. Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons. Archive for Rational Mechanics and Analysis, Volume 231, Issue 1, pp 63–89 (2019)

[23] Sergey Nazarenko, Avy Soffer and Minh-Binh Tran On the Wave Turbulence Theory for the Nonlinear Schrodinger Equation with Random Potentials Entropy 21(9), 823 (2019)

[22] Linda Reichl, Minh-Binh Tran. A kinetic equation for ultra-low temperature Bose-Einstein condensates. Journal of Physics A, Volume 52, Number 6, 063001 (2019)

[21] Yves Pomeau, Minh-Binh Tran. Shock waves from the inhomogeneous Boltzmann equation Physical Review E 100 (6), 062120 (2019)

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

[19] Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh. An improved iterative HDG approach for partial differential equations. Journal of Computational Physics, Volume 367, Pages 295-321, 15 August (2018)

[18]Avy Soffer, Minh-Binh Tran. On coupling kinetic and Schrödinger equations. Journal of Differential Equations  265 (5), 2243-‌2279 (2018)

[17] Shi Jin, Minh-Binh Tran. Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Physica D: Nonlinear Phenomena, Volumes 380–381, Pages 45-57 (2018)

[16] Toan Nguyen, Minh-Binh Tran. On the kinetic equation in Zakharov’s wave turbulence theory for capillary waves. SIAM Journal on Mathematical Analysis, 50, no. 2, 2020–2047 (2018)

[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] 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.

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

[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, 1 (2015), 271-279

[10] 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

[9] 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

[8] Minh-Binh Tran. On domain decomposition methods for optimal control problems. Applications of Mathematics – In Honor of Karel Segeth(Invited Paper), 207-214, Academy of Sciences of the Czech Republic Institute of Mathematics, Prague, 2013

[7] 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

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

[5] Minh-Binh Tran. Nonlinear approximation theory for the homogeneous Boltzmann equation. Part1 Part2 Part3

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

[3] 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

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

[1] Minh-Binh Tran, Duong Minh Duc, Nguyen Duy Thanh. On partially elliptic and coercive boundary problems. Vietnam Journal of Mathematics (Undergraduate Thesis), 37(2-3):255–272, 2009

INVITED BOOK REVIEWS

[1] Minh-Binh Tran. An introduction to the numerical simulation of stochastic differential equations book review. SIAM Rev. 66 (2024), no.1, 200–201.

OTHER WRITINGS

[2] Gigliola Staffilani, Minh-Binh Tran. Wave turbulence theory for a stochastic KdV type equation. Oberwolfach Report 26/2022.

[1] Irene M. Gamba, Leslie Smith, Minh-Binh Tran. A Kinetic Wave Turbulence Model for Stratified Flows. Oberwolfach Report 56/2017.

SOFTWARES/SIMULATIONS

[2] Python Codes for Avy Soffer, Chris Stucchio, Minh-Binh Tran. Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition SpringerBriefs on PDEs and Data Science Book Series 2022, ISBN 978-981-19-6817-4

[1] Simulations: Maxwell’s Equations Euler equations

COLLABORATORS

Alejandro Aceves (Math, SMU), Ricardo Alonso (Math, Qatar),  Alain Bensoussan (Math, French Academy of Sciences), Stanislav Boldyrev (Physics, Wisconsin-Madison), Tan Bui-Thanh (Aerospace Engineering, Texas-Austin), Jose-Antonio Carrillo (Math, Oxford), Gheorghe Craciun (Biomolecular Chemistry and Math, Wisconsin-Madison), Miguel Escobedo (Math, Bilbao), Irene M. Gamba (Math, Texas-Austin), Luca Gerardo-Giorda (RICAM, Austria),  Pierre Germain (Math, Imperial College London), Alexandru D. Ionescu (Math, Princeton), Shi Jin (Math, Wisconsin-Madison), Sriramkrishnan Muralikrishnan (Aerospace Engineering, Texas-Austin), Jerome Loheac (Automatic Control, CNRS Lorraine), Amirali Hannani (KU Leuven), Simona Mancini (Math, Orléans), Sergey Nazarenko (Physics, CNRS Nice), Toan Nguyen (Math, Penn State),  Yves Pomeau (Physics, French Academy of Sciences), Viswanath Ramakrishna (Math, Texas-Dallas), Linda Reichl (Physics, Texas-Austin), Benno Rumpf (Math, SMU), Leslie M. Smith (Engineering Physics and Math, Wisconsin-Madison), Gigliola Staffilani (Math, MIT), Avy Soffer (Math, Rutgers), Matthew Rosenzweig (Math, CMU), Emmanuel Trelat (Math, Sorbonne) Phillip Yam (Statistics, The Chinese University of Hong Kong), Xiang Zhou (Math, City University of Hong Kong)