22 citations · 64 across the 25 of their papers we have counts for
34 papers
Global well-posedness for nonlinear generalized Camassa-Holm equation
Nesibe Ayhan, Nilay Duruk Mutlubas, Bao Quoc Tang
We establish local and global well-posedness for the Cauchy problem of a generalized Camassa-Holm equation where orders of the momentum and the nonlinearity can be arbitrarily high…
Existence, asymptotic behaviour and convergence of a generalised 3D Muskat problem in stable regime
Qasim Khan, Anthony Suen, Bao Quoc Tang
We address a generalised three-dimensional -Muskat model that comes from the fluid interface problem given by two incompressible fluids with different densities in the stable re…
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…
Macroscopic limit for stochastic chemical reactions involving diffusion and spatial heterogeneity
Malcolm Egan, Bao Quoc Tang
To model bio-chemical reaction systems with diffusion one can either use stochastic, microscopic reaction-diffusion master equations or deterministic, macroscopic reaction-diffusio…
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…
Bulk-surface systems on evolving domains
Diogo Caetano, Charles M. Elliott, Bao Quoc Tang
Bulk-surface systems on evolving domains are studied. Such problems appear typically from modelling receptor-ligand dynamics in biological cells. Our first main result is the globa…