1 citations · 1 across the 4 of their papers we have counts for
5 papers
Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling
Le Trong Thanh Bui, Thi Kim Loan Huynh, Bao Quoc Tang +1
Singular limits for the following indirect signalling chemotaxis system \begin{align*} \left\{ \begin{array}{lllllll} \partial_t n = Δn - \nabla \cdot (n \nabla c ) & \text{in } Ω\…
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…
Existence, Stability and Optimal Drug Dosage for a Reaction-Diffusion System Arising in a Cancer Treatment
Jeff Morgan, Bao Quoc Tang, Hong-Ming Yin
In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The sy…
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…
Non-concentration phenomenon for one dimensional reaction-diffusion systems with mass dissipation
Juan Yang, Anna Kostianko, Chunyou Sun +2
Reaction-diffusion systems with mass dissipation are known to possess blow-up solutions in high dimensions when the nonlinearities have super quadratic growth rates. In dimension o…