Publications

Author name in publications: In earlier publications before 2014, my name was stated as Tang Quoc Bao (in full) and T.Q. Bao (for citation). This is due to my vietnamese name (Tang - surname, Quoc - middle name, Bao - given name). Recently, I have switched to Bao Quoc Tang (in full) and B.Q. Tang or B. Tang (for citation)

Theses

Bao Q. Tang. Reaction-Diffusion Systems: Existence and Dynamics. Habilitation Thesis, University of Graz, 2025 View

Bao Q. Tang. On the Large Time Behaviour of Reaction-Diffusion Systems: Convergence to Equilibrium and Random Attractors. PHD Thesis, University of Graz, 2015 View



Preprints

  1. Le Trong Thanh Bui, Thi Kim Loan Huynh, Bao Quoc Tang, Bao-Ngoc Tran. Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling. arXiv

  2. Maxime Breden, Maxime Payan, Cordula Reisch, Bao Quoc Tang. Turing instability for nonlocal heterogeneous reaction-diffusion systems: A computer-assisted proof approach. arXiv

  3. Alexandra Blessing, Tim Seitz, Stefanie Sonner, Bao Quoc Tang. Pathwise mild solutions for superlinear stochastic evolution equations and their attractors. arXiv

  4. Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach, Bao Quoc Tang, Bao-Ngoc Tran. Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion. arXiv

  5. Thi Lien Nguyen, Bao Q. Tang. Stability analysis of irreversible chemical reaction-diffusion systems with boundary equilibria. arXiv

  6. Jeff Morgan, Bao Q. Tang, Hong-Ming Yin. Existence, Stability and Optimal Drug Dosage for a Reaction-Diffusion System Arising in a Cancer Treatment. arXiv

  7. M. H. Duong, T. H. Dang-Ha, Bao Q. Tang, H. M. Tran. Generalized potential games. arXiv

Accepted papers

  1. Phuoc-Tai Nguyen, Bao Q. Tang. Well-posedness for fractional reaction-diffusion systems with mass dissipation in \(\mathbb R^N\). Nonlinearity arXiv

  2. Andrea Bondesan, Bao Q. Tang. Explicit spectral gap estimates for the linearized Boltzmann operator modeling reactive gaseous mixtures. SIAM Journal on Mathematical Analysis arXiv

  3. Laurent Desvillettes, Kim Dang Phung, Bao Q. Tang. On the equilibriation of chemical reaction-diffusion systems with degenerate reactions. SIAM Journal on Mathematical Analysis arXiv

Published

    2026

  1. Jeff Morgan, Cinzia Soresina, Bao Quoc Tang, Bao-Ngoc Tran. Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity. Journal of Differential Equations (2026) 452:113797 Published arXiv  

    2. 2025

  2. Diogo Caetano, Charles M. Elliott, Bao Q. Tang. Bulk-surface systems on evolving domains. Journal of Evolution Equations (2025) 25:103 Published arXiv  

  3. Juan Yang, Bao Q. Tang. Volume-surface systems with sub-quadratic intermediate sum on the surface: Global existence and boundedness. Communications in Pure and Applied Analysis (2025) 24, No. 12 2261-2289. Published arXiv  

  4. Qasim Khan, Anthony Suen, Bao Quoc Tang. Turing Instability Suppressed and Induced by Multiplicative Noise in Brusselator System. Communications in Nonlinear Science and Numerical Simulation (2025) 151 (109092) Published arXiv  

    5. 2024

  5. Juan Yang, Anna Kostianko, Chunyou Sun, Bao Q. Tang, Sergey Zelik. Non-concentration phenomenon reaction-diffusion systems with mass dissipation. Mathematische Nachrichten (2024) 297, no. 11, 4288-4306. Published arXiv 

  6. Cinzia Soresina, Bao Q. Tang, Bao-Ngoc Tran. Fast-reaction limits for predator--prey reaction--diffusion systems: improved convergence. AMS Contemporary Mathematics: Topics in Multiple Time Scale Dynamics Published arXiv 

  7. Bao Q. Tang, Bao-Ngoc Tran. Rigorous derivation of Michaelis-Menten kinetics in the presence of diffusion. SIAM Journal on Mathematical Analysis (2024) 56, No. 5 Published arXiv 

  8. Juan Yang, Jeff Morgan, Bao Q. Tang. On quasi-linear reaction diffusion systems arising from compartmental SEIR models. Nonlinear Differential Equations and Applications (2024) 31, No. 98 Published arXiv  

  9. Hong Hai Ly, Bao Q. Tang. Stabilization by Multiplicative Ito Noise for Chafee-Infante Equation in Perforated Domains. Applied Mathematics Letters (2024) 150, 108944 Published arXiv 

  10. Malcolm Egan, Bao Q. Tang. Macroscopic limit for stochastic chemical reactions involving diffusion and spatial heterogeneity. Stochastic Processes and their Applications (2024) 176, 104433 Published arXiv 

    11. 2023

  11. Chunyou Sun, Bao Q. Tang, Juan Yang. Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates. Journal of Evolution Equations (2023) 23:44 Published arXiv 

  12. K. Fellner, J. Fischer, M. Kniely, Bao Q. Tang. Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion. Journal of Nonlinear Science. (2023) 33:66 Published arXiv 

  13. J. Morgan, Bao Q. Tang. Global well-posedness for volume-surface reaction-diffusion systems. Communications in Contemporary Mathematics. (2023) 25:04 Published arXiv 

    14. 2022

  14. J. Elias, H. Izuhara, M. Mimura, Bao Q. Tang. An aggregation model of cockroaches with fast-or-slow motion dichotomy. Journal of Mathematical Biology. (2022) 85:28  Published arXiv 

  15. Laurent Desvillettes, Valeria Giunta, Jeff Morgan, Bao Quoc Tang.Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (4) 826-856 (2022) Published

  16. Bayram C. Akdeniz, M. Egan, Bao Q. Tang. Stochastic Reaction and Diffusion Systems in Molecular Communications: Recent Results and Open Problems. Digital Signal Processing 124 (2022) 103117 (Special Issue: Signal Processing Aspects of Molecular Communication) Published

  17. M. Braukhoff, A. Einav, Bao Q. Tang. Quantitative dynamics of irreversible enzyme reaction-diffusion systems. Nonlinearity 35(4) 1876-1926 (2022).  Published arXiv 

    18. 2021

  18. W.-E Fitzgibbon, J. Morgan, Bao Q. Tang, H.-M. Yin. Reaction-diffusion-advection systems with discontinuous diffusion and mass control. SIAM Journal on Mathematical Analysis 53(6) 6771 - 6803 (2021)  Published arXiv 

  19. Bayram C. Akdeniz, M. Egan, Bao Q. Tang. Equilibrium Signaling in Spatially Inhomogeneous Diffusion and External Forces. IEEE Transactions on Molecular, Biological, and Multi-Scale Communications 7(2) (2021) 106 - 110 (Special Section - Advances in Molecular Communication)  Published Preprint 

  20. Bayram C. Akdeniz, M. Egan, Bao Q. Tang. Equilibrium Signaling: Molecular Communication Robust to Geometry Uncertainties. IEEE Transactions on Communications 69 (2) (2021) 752 - 765  Published Preprint 

  21. D. Lan, D.T. Son, Bao Q. Tang, L.T. Thuy. Quasilinear parabolic equations with first order terms and \(L^1\)-data in moving domains. Nonlinear Analysis TMA 206, May 2021, 112233  Published arXiv 

  22. Brian P. Cupps, Jeff Morgan, Bao Q. Tang, Uniform boundedness for reaction-diffusion systems with mass dissipation. SIAM Journal on Mathematical Analysis 53(1) (2021) 323 - 350  Published arXiv 

  23. K. Fellner, J. Morgan, Bao Q. Tang, Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions. Discrete and Continuous Dynamical Systems - Series S, 14(2) (2021) 635-651  Published arXiv 

    24. 2020

  24. M. Braukhoff, Bao Q. Tang. Global solutions for chemotaxis-Navier-Stokes system with Robin boundary conditions. Journal of Differential Equations. Vol 268 (12) (2020) 10630 - 10669  Published arXiv 

  25. A. Einav, J. Morgan, Bao Q. Tang. Indirect diffusion effect in degenerate reaction-diffusion systems. SIAM Journal on Mathematical Analysis. Vol. 52 (5) (2020) 4314-4361  Published arXiv 

  26. K. Pieper, Bao Q. Tang, P. Trautmann, D. Walter, Inverse point source location with the Helmholtz equation on a bounded domain. Computational Optimization and Applications. 77 (2020) 213-249  Published arXiv 

  27. K. Fellner, E. Latos, Bao Q. Tang, Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion. Journal of Evolution Equations. 20 (2020) 957-1003  Published arXiv 

  28. Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang, Energy conservation for inhomogeneous incompressible and compressible Euler equations. Journal of Differential Equations. Vol 269, number 9 (2020) 7171-7210  Published arXiv 

  29. J. Morgan, Bao Q. Tang. Boundedness for reaction-diffusion systems with Lyapunov functions and intermediate sum conditions. Nonlinearity. Vol. 33, number 7 (2020) 3105-3133  Published arXiv 

  30. K. Fellner, J. Morgan, Bao Q. Tang, Global classical solutions to quadratic systems with mass control in arbitrary dimensions. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. vol. 37, number 2 (2020) 281-307.  Published arXiv 

  31. E.S. Daus, A. Jüngel, Bao Q. Tang, Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type. Archive for Rational Mechanics and Analysis 235 (2020) 1059-1104.  Published arXiv 

    32. 2019

  32. M. Egan, Bao Q. Tang, Bayram C. Akdeniz, On the Input-Output relationship for molecular communications in general first-order chemical reaction-diffusion systems. Proceedings of the Sixth Annual ACM International Conference on Nanoscale Computing and Communication, NANOCOM 2019 21:1-21:6  Published Preprint 

  33. Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Q. Tang, Energy equalities for compressible Navier-Stokes equations. Nonlinearity. 32 (2019) 4206-4231.  Published arXiv 

  34. K. Fellner, S. Sonner, Bao Q. Tang, D.D. Thuan, Stabilisation by noise on the boundary for a Chafee-Infante equation with dynamical boundary conditions. Discrete and Continuous Dynamical Systems - Series B. 2019, 24(8): 4055-4078.  Published arXiv 

  35. Esther S. Daus, Bao Q. Tang, Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems. Applied Mathematics Letters. 88 (2019) 81-89.  Published arXiv 

    36. 2018

  36. Bao Q. Tang, Close-to-equilibrium regularity for reaction-diffusion systems. Journal of Evolution Equations. 18.2 (2018) 845-869.  Published arXiv 

  37. H. Egger, K. Fellner, J.-F. Pietschmann, Bao Q. Tang, Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology. Applied Mathematics and Computation. 336 (2018) 351-367.  Published arXiv 

  38. Bao Q. Tang, Global classical solutions to reaction-diffusion systems in one and two dimensions. Communications in Mathematical Sciences. 16.2 (2018) 411-423.  Published arXiv 

  39. K. Fellner, Bao Q. Tang, Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems. Zeitschrift für angewandte Mathematik und Physik. 69.3 (2018) (30 pages)  Published arXiv 

  40. K. Fellner, E. Latos, B.Q. Tang, Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 35.3 (2018) 643-673  Published arXiv 

    41. 2017

  41. K. Fellner, Bao Q. Tang, Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems, PSPDE 2015: From Particle Systems to Partial Differential Equations pp 153-176.  Published arXiv 

  42. L. Desvillettes, K. Fellner, Bao Q. Tang, Trend to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks, SIAM Journal on Mathematical Analysis. 49 (2017), pp. 2666-2709.  Published arXiv 

  43. K. Fellner, Bao Q. Tang, Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition, Nonlinear Analysis, TMA. 159 (2017) pp. 145 - 180 (Special issue: Advances in reaction-cross-diffusion systems. Editors: L. Chen, A. Jüngel, L. Desvillettes).  Published arXiv 

  44. K. Fellner, W. Prager and Bao Q. Tang, The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks, Kinetic and Related Models. 10 (4) (2017) pp. 1055 - 1087  Published arXiv 

    45. 2016

  45. K. Fellner, S. Rosenberger, Bao Q. Tang, Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system, Communications in Mathematical Sciences, vol. 14 (6), pp. 1553-1580, 2016.  Published arXiv 

  46. F. Henneke and Bao Q. Tang, Fast reaction limit of a volume-surface reaction-diffusion system towards a heat equation with dynamical boundary conditions, Asymptotic Analysis, vol. 98, no. 4, pp. 325-339, 2016. Published

  47. Bao Q. Tang, Regularity of random attractors for stochastic reaction-diffusion equations on unbounded domains, Stochastic Dynamics 16.1 (2016) 29 pages. Published

    48. 2015

  48. Bao Q. Tang, Regularity of pullback random attractors for stochastic FitzHugh-Nagumo system on unbounded domains, Discrete and Continuous Dynamical Systems - Series A 35 (2015) pp. 441 - 466. Published

    49. 2014

  49. Bao Q. Tang, Dynamics of stochastic three-dimensional Navier-Stokes-Voigt equations on unbounded domains, Journal of Mathematical Analysis and Applications 419 (2014), pp. 583-605. Published

    50. 2013

  50. C.T. Anh, T.Q. Bao and L.T. Thuy, Regularity and fractal dimension of pullback attractors for a non-autonomous semilinear degenerate parabolic equation, Glasgow Mathematical Journal, Vol. 55 (2013), pp. 431-448. Published

    51. 2012

  51. T. Q. Bao, Existence and upper semi-continuity of uniform attractors for non-autonomous reaction-diffusion equations on \(\mathbb R^n\), Electron Journal of Differential Equations, Vol. 2012 (2012), No. 203, pp. 1-18. Published

  52. C.T. Anh, T.Q. Bao and N.V. Thanh, Regularity of random attractors for stochastic semilinear degenerate parabolic equations, Electron Journal of Differential Equations, Vol. 2012 (2012), No. 207, pp. 1-22. Published

  53. C.T. Anh and T.Q. Bao, Pullback attractors for generalized Korteweg-de Vries - Burgers equations, Journal of Mathematical Analysis and Applications, (2012), 388, pp. 899 - 912. Published

  54. C.T. Anh and T.Q. Bao, Dynamics of non-autonomous nonclassical diffusion equations on \(\mathbb R^n\), Communications in Pure and Applied Analysis, (2012), 11, pp. 1231-1252. Published

    55. 2011

  55. C.T. Anh and T.Q. Bao, Pullback attractors for non-autonomous parabolic equations involving weighted p-Laplacian operators, Annales Polonici Mathematici (2011), 101, pp 1-19. Published

    56. 2010

  56. C.T. Anh and T.Q. Bao, Pullback attractors for a class of non-autonomous nonclassical diffusion equations, Nonlinear Analysis (2010) 73, pp 399-412. Published

  57. C.T. Anh and T.Q. Bao, Pullback attractors for a non-autonomous semilinear degenerate parabolic equation, Glasgow Mathematical Journal, (2010), 52: pp 537-554 Published