My current interests generally fall within the analysis of evolutionary partial differential equations in chemistry, biology, and physics, mainly including
Topic 1: Kinetic theory: From Boltzmann equations to Cross-diffusion systems, High friction limits;
Topic 2: Chemotaxis systems: Global existence and blow up, large-time behaviours, singular limits, etc.; and
Topic 3: Fast reaction limits in reaction-diffusion systems, their convergence rates and geometrical theory of dynamical systems.
My research is being developed in collaboration with Ass-Prof. Bao Quoc Tang (University of Graz), Prof. Christian Kuehn (Technical University of Munich), Prof. Laurent Desvillettes (Université Paris Cité), Prof. Jeffrey Morgan (University of Houston), Prof. Hong Duong (University of Birmingham), Assoc. Prof. Le Trong Thanh Bui (Vietnam National University HCM City), Dr. Masaaki Mizukami (Kyoto University Of Education), etc.
RECENT PUBLICATIONS:
L.T. Thanh Bui, T.K. Loan Huynh, Q. Bao Tang, BNT. Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling, Calculus of Variations and Partial Differential Equations, Volume 65, article number 76, 2026.
J. Morgan, C. Soresina, B.Q. Tang, BNT. Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity, Journal of Differential Equations, Volume 452, 113797, 37 pages, 2025.
B.Q. Tang, BNT. Rigorous derivation of Michaelis-Menten kinetics in the presence of slow diffusion. SIAM Journal on Mathematical Analysis, Volume 56, Issue 5, 2024.
PREPRINTS:
Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach, Tang Quoc Bao, BNT, Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion, arXiv:2501.16775, 51 pages, 2025.
Cordula Reisch, BNT, and Juan Yang. Rigorous fast signal diffusion limit and convergence rates with the initial layer effect in a competitive chemotaxis system, arXiv:2405.17392, 48 pages, 2024.
BNT, Juan Yang, Global solvability for doubly degenerate nutrient taxis system with a wide range of bacterial responses in physical dimension, arXiv:2508.03268, 45 pages, 2025.
FULL PUBLICATIONS: Please look at the MathSciNet Link.