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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…