[54] Gigliola Staffilani, Minh-Binh Tran. Formation of condensations for non-radial solutions to 3-wave kinetic equations PDF
[53] Nicola De Nitti, Minh-Binh Tran. Uncertainty principles for a kinetic equation PDF
[52] Minh-Nhat Phung, Minh-Binh Tran. Control, Optimal Transport and Neural Differential Equations in Supervised Learning PDF
[51] Thomas Hagstrom, Dinh Phan Cao Nguyen, Avy Soffer, Chris Stucchio, Minh-Binh Tran. A time dependent phase space filter for anisotropic wave equations on unbounded domains PDF
[50] Sarah Strikwerda, Hung Vinh Tran, Minh-Binh Tran. Controlling discrete semilinear wave equations toward flocks PDF
[49] Arijit Das, Minh-Binh Tran. Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory PDF
[48] Gigliola Staffilani, Minh-Binh Tran. Condensation and non-condensation times for 4-wave kinetic equations PDF
[47] Gigliola Staffilani, Minh-Binh Tran. On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations PDF
[46] Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran, Emmanuel Trélat. Internal Control of The Transition Kernel for Stochastic Lattice Dynamics PDF
[45] Steven Walton, Minh-Binh Tran. Numerical Schemes for 3-Wave Kinetic Equations: A Complete Treatment of the Collision Operator PDF
[44] 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
[43] Gigliola Staffilani, Minh-Binh Tran. On the wave turbulence theory for a stochastic KdV type equation (226 pages) PDF
[42] 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.
[41] Benno Rumpf, Avy Soffer, Minh-Binh Tran. On the wave turbulence theory: ergodicity for the elastic beam wave equation Mathematische Zeitschrift
[40] Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran, Emmanuel Trelat. Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat Journal of Differential Equations
[39] Minh-Binh Tran. An introduction to the numerical simulation of stochastic differential equations book review. SIAM Review.
[38] Steven Walton, Minh-Binh Tran, Alain Bensoussan. A deep learning approximation of non-stationary solutions to wave kinetic equations Applied Numerical Mathematics
[37] Avy Soffer, Chris Stucchio, Minh-Binh Tran. Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition (Book) Springer Nature Singapore
[36] Steven Walton, Minh-Binh Tran. A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations SIAM Journal on Scientific Computing
[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
[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)
[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)
[32] Minh-Binh Tran, Yves Pomeau. On a thermal cloud – Bose-Einstein Condensate coupling system. European Physical Journal Plus (Invited Paper)
[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)
[30] Avy Soffer, Minh-Binh Tran. On the energy cascade of 3-wave kinetic equations: Beyond Kolmogorov-Zakharov solutions Communications in Mathematical Physics
[29] Pierre Germain, Alexandru D. Ionescu, Minh-Binh Tran. Optimal local well-posedness theory for the kinetic wave equation. Journal of Functional Analysis
[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
[27] Minh-Binh Tran, Yves Pomeau. Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework. Physical Review E
[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
[25] Yves Pomeau, Minh-Binh Tran. Statistical Physics of Non Equilibrium Quantum Phenomena, Lecture Notes in Physics, Springer, Cham (Book) 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
[23] Sergey Nazarenko, Avy Soffer and Minh-Binh Tran On the Wave Turbulence Theory for the Nonlinear Schrodinger Equation with Random Potentials Entropy
[22] Linda Reichl, Minh-Binh Tran. A kinetic equation for ultra-low temperature Bose-Einstein condensates. Journal of Physics A
[21] Yves Pomeau, Minh-Binh Tran. Shock waves from the inhomogeneous Boltzmann equation Physical Review E
[20] Avy Soffer, Minh-Binh Tran. On the dynamics of finite temperature trapped Bose gases. Advances in Mathematics
[19] Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh. An improved iterative HDG approach for partial differential equations. Journal of Computational Physics
[18]Avy Soffer, Minh-Binh Tran. On coupling kinetic and Schrödinger equations. Journal of Differential Equations
[17] Shi Jin, Minh-Binh Tran. Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Physica D: Nonlinear Phenomena
[16] Toan Nguyen, Minh-Binh Tran. On the kinetic equation in Zakharov’s wave turbulence theory for capillary waves. SIAM Journal on Mathematical Analysis
[15] Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh. An Iterative HDG Framework for Partial Differential Equations. SIAM Journal on Scientific Computing
[14] Erich Foster, Jerome Loheac, Minh-Binh Tran. A Structure Preserving Scheme for the Kolmogorov Fokker Planck Equation. Journal of Computational Physics
[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
[12] Luca Gerardo-Giorda, Minh-Binh Tran. Parallelizing the Kolmogorov-Fokker-Planck equation. ESAIM Mathematical Modelling and Numerical Analysis
[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
[10] Minh-Binh Tran. Parallel Schwarz waveform relaxation algorithm for an n-dimensional semilinear heat equation. ESAIM Mathematical Modelling and Numerical Analysis
[9] Minh-Binh Tran. The behavior of domain decomposition methods when the overlapping length is large. Central European Journal of Mathematics(Invited Paper)
[8] Minh-Binh Tran. On domain decomposition methods for optimal control problems. Applications of Mathematics – In Honor of Karel Segeth Academy of Sciences of the Czech Republic Institute of Mathematics, Prague (Invited Paper)
[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
[6] Minh-Binh Tran. Overlapping optimized Schwarz methods for parabolic equations in ndimensions. Proceedings of the American Mathematical Society
[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
[3] Minh-Binh Tran. A parallel four step domain decomposition scheme for coupled forward backward stochastic differential equations. Journal de Mathématiques Pures et Appliquées
[2] Minh-Binh Tran. Parallel Schwarz waveform relaxation method for a semilinear heat equation in a cylindrical domain. Comptes Rendus Mathematiques
[1] Minh-Binh Tran, Duong Minh Duc, Nguyen Duy Thanh. On partially elliptic and coercive boundary problems. Vietnam Journal of Mathematics 2009 Undergraduate Thesis
REPORTS
[2] Gigliola Staffilani, Minh-Binh Tran. Wave turbulence theory for a stochastic KdV type equation. Oberwolfach Report 2022.
[1] Irene M. Gamba, Leslie Smith, Minh-Binh Tran. A Kinetic Wave Turbulence Model for Stratified Flows. Oberwolfach Report 2017.
SOFTWARES/SIMULATIONS
[3] Minh-Binh Tran. (2025). Codes for “A TIME DEPENDENT PHASE SPACE FILTER FOR ANISOTROPIC WAVE EQUATIONS ON UNBOUNDED DOMAINS”. Zenodo. https://doi.org/10.5281/zenodo.15151086
[2] Python Codes for Avy Soffer, Chris Stucchio, Minh-Binh Tran. Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition Springer Nature Singapore.
[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)
- Nhan-Phu Chung (Math, UEH)
- Arijit Das (Math, FAU)
- Duong Minh Duc (Math, Vietnam National University)
- Miguel Escobedo (Math, Bilbao)
- Erich Foster (Math, Delft)
- Irene M. Gamba (Math, Texas-Austin)
- Fatih Gelir (Math, UT Dallas)
- Luca Gerardo-Giorda (RICAM, Austria)
- Pierre Germain (Math, Imperial College London)
- Thomas Hagstrom (Math, SMU)
- Alexandru D. Ionescu (Math, Princeton)
- Shi Jin (Math, Wisconsin-Madison)
- Sriramkrishnan Muralikrishnan (Aerospace Engineering, Texas-Austin)
- Yiqun Li (Statistics, The Chinese University of Hong Kong)
- Jerome Loheac (Automatic Control, CNRS Lorraine)
- Amirali Hannani (Physics, KU Leuven)
- Simona Mancini (Math, Orléans)
- Sergey Nazarenko (Physics, CNRS Nice)
- Toan Nguyen (Math, Penn State)
- Dinh Phan Cao Nguyen (Computer Science, Vietnam National University)
- Nicola De Nitti (Math, Pisa)
- Yves Pomeau (Physics, French Academy of Sciences)
- Minh-Nhat Phung (Math, TAMU)
- 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)
- Sarah Strikwerda (Math, Wisconsin Madison)
- Chris Stucchio (Math, Rutgers)
- Matthew Rosenzweig (Math, CMU)
- Nguyen Duy Thanh (Math, Vietnam National University)
- Hung Vinh Tran (Math, Wisconsin Madison)
- Emmanuel Trelat (Math, Sorbonne)
- Phillip Yam (Statistics, The Chinese University of Hong Kong)
- Xiang Zhou (Math, City University of Hong Kong)
- Steven Walton (Math, Los Alamos National Lab)
- Bangjie Wang (Math, TAMU)