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. Qasim Khan, Anthony Suen, Bao Quoc Tang. Existence, asymptotic behaviour and convergence of a generalised 3D Muskat problem in stable regime arXiv

  2. Katharina Hopf, Bao Quoc Tang. Renormalised solutions to reaction-diffusion systems with interface conditions: Global existence and weak-strong uniqueness arXiv

  3. The Tuan Hoang, Nhu Phong Tham, Bao Quoc Tang. Fast reaction limits and convergence rate for nonlinear bulk-surface reaction-diffusion systems modeling reversible chemical reactions arXiv

  4. Hieu Trong Nguyen; Quang Dinh Nguyen; Bao Quoc Tang; Luat Van Tran; Phuong Thi Nguyen. A Hybrid System Model for Treatment of Differentiated Thyroid Cancer: Dynamics, Parameter Estimation and Optimal Strategy

  5. Fabian Veider, Georg Jaeger, Bao Quoc Tang. How Recommendation Algorithms Shape Social Networks: An Adaptive Voter Model Approach. arXiv

  6. 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

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

Accepted papers

  1. Nesibe Ayhan, Nilay Duruk Mutlubas, Bao Quoc Tang. Global well-posedness for nonlinear generalized Camassa-Holm equation. Annali di Matematica Pura ed Applicata arXiv Published

  2. Maxime Breden, Maxime Payan, Cordula Reisch, Bao Quoc Tang. Turing instability for nonlocal heterogeneous reaction-diffusion systems: A computer-assisted proof approach. Journal of Dynamics and Differential Equations arXiv Published

Published

    2026

  1. Alexandra Blessing, Tim Seitz, Stefanie Sonner, Bao Quoc Tang. Pathwise mild solutions for superlinear stochastic evolution equations and their attractors. Journal of Differential Equations (2026) 479.25 114664 arXiv Published

  2. Thi Lien Nguyen, Bao Q. Tang. Stability analysis of irreversible chemical reaction-diffusion systems with boundary equilibria. Zeitschrift fuer angewandte Mathematik und Physik (2026) 77.199 arXiv Published

  3. Jeff Morgan, Bao Q. Tang, Hong-Ming Yin. Existence, Stability and Optimal Drug Dosage for a Reaction-Diffusion System Arising in a Cancer Treatment. Communications in Mathematical Sciences (2026) 24.6, 1543-1561 arXiv Published

  4. Andrea Bondesan, Bao Q. Tang. Explicit spectral gap estimates for the linearized Boltzmann operator modeling reactive gaseous mixtures. SIAM Journal on Mathematical Analysis (2026) 58.2, 1405-1435 arXiv Published

  5. 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. Calculus of Variations and Partial Differential Equations (2026) 65:76 arXiv Published

  6. Laurent Desvillettes, Kim Dang Phung, Bao Q. Tang. On the equilibriation of chemical reaction-diffusion systems with degenerate reactions. SIAM Journal on Mathematical Analysis (2026) 58.1 arXiv Published

  7. 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 arXiv Published

    8. 2025

  8. Phuoc-Tai Nguyen, Bao Q. Tang. Well-posedness for fractional reaction-diffusion systems with mass dissipation in \(\mathbb R^N\). Nonlinearity (2025) 38:115014 arXiv Published

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

  10. 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. arXiv Published

  11. 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) arXiv Published

    12. 2024

  12. 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. arXiv Published

  13. 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 arXiv Published

  14. 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 arXiv Published

  15. 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 arXiv Published

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

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

    18. 2023

  18. 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 arXiv Published

  19. 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 arXiv Published

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

    21. 2022

  21. 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 arXiv Published

  22. 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

  23. 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

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

    25. 2021

  25. 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) arXiv Published

  26. 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) Preprint Published

  27. 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 Preprint Published

  28. 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 arXiv Published

  29. 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 arXiv Published

  30. 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 arXiv Published

    31. 2020

  31. 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 arXiv Published

  32. 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 arXiv Published

  33. 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 arXiv Published

  34. 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 arXiv Published

  35. 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 arXiv Published

  36. 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 arXiv Published

  37. 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

  38. E.S. Daus, A. Juengel, 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. arXiv Published

    39. 2019

  39. 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 Preprint Published

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

  41. 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. arXiv Published

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

    43. 2018

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

  44. 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. arXiv Published

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

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

  47. 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 arXiv Published

    48. 2017

  48. 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. arXiv Published

  49. 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. arXiv Published

  50. 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). arXiv Published

  51. 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 arXiv Published

    52. 2016

  52. 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. arXiv Published

  53. 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

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

    55. 2015

  55. 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

    56. 2014

  56. 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

    57. 2013

  57. 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

    58. 2012

  58. 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

  59. 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

  60. 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

  61. 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

    62. 2011

  62. 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

    63. 2010

  63. 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

  64. 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