1 citations · 1 across the 8 of their papers we have counts for
8 papers
Well-Posedness for Fractional Reaction-Diffusion Systems with Mass Dissipation in
Phuoc-Tai Nguyen, Bao Quoc Tang
The global existence of bounded solutions to reaction-diffusion systems with fractional diffusion in the whole space is investigated. The systems are assumed to prese…
Pathwise mild solutions for superlinear stochastic evolution equations and their attractors
Alexandra Blessing, Tim Seitz, Stefanie Sonner +1
We investigate stochastic parabolic evolution equations with time-dependent random generators and locally Lipschitz continuous drift terms. Using pathwise mild solutions, we constr…
Slow Manifolds for PDE with Fast Reactions and Small Cross Diffusion
Laurent Desvillettes, Christian Kuehn, Jan-Eric Sulzbach +2
Multiple time scales problems are investigated by combining geometrical and analytical approaches. More precisely, for fast-slow reaction-diffusion systems, we first prove the exis…
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…