6 papers · 1 filter
Global classical solutions by transport noise for reaction-diffusion systems with entropy dissipation
Antonio Agresti, Michael Kniely, Bao Quoc Tang
The existence of global classical solutions for reaction-diffusion systems arising from chemical reaction networks remains a major open problem in the deterministic setting, especi…
Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity
Jeff Morgan, Cinzia Soresina, Bao Quoc Tang +1
We investigate a fast-reaction--diffusion system modelling the effect of autotoxicity on plant-growth dynamics, in which the fast-reaction terms are based on the dichotomy between…
On quasi-linear reaction diffusion systems arising from compartmental SEIR models
Juan Yang, Jeff Morgan, Bao Quoc Tang
The global existence and boundedness of solutions to quasi-linear reaction-diffusion systems are investigated. The system arises from compartmental models describing the spread of…
Rigorous derivation of Michaelis-Menten kinetics in the presence of diffusion
Bao Quoc Tang, Bao-Ngoc Tran
Reactions with enzymes are critical in biochemistry, where the enzymes act as catalysis in the process. One of the most used mechanisms for modeling enzyme-catalyzed reactions is t…
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
Klemens Fellner, Jeff Morgan, Bao Quoc Tang
Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all space dimension are proved. The systems are assumed to dissipate the total mass and t…
Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems
Klemens Fellner, Bao Quoc Tang
We consider two volume-surface reaction-diffusion systems arising from cell biology. The first system describes the localisation of the protein Lgl in the asymmetric division of Dr…