André Luiz Corrêa Vianna Filho

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20222025

most citedUniform in time solutions for a chemotaxis with potential consumption model

8 citations · 19 across the 6 of their papers we have counts for

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math.AP2024

A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models

André Luiz Corrêa Vianna Filho, Francisco Guillén-González

In the present review we focus on the chemotaxis-consumption model $\partial_{t} u - Δ u = - \nabla \cdot (u \nabla v)$ and $\partial_{t} v - Δ v = - u^{s} v$ in $(0, T) \times Ω$ , for any…

math.AP2022★ 8 cited

Uniform in time solutions for a chemotaxis with potential consumption model

A. L. Corrêa Vianna Filho, Francisco Guillén-González

In this work we investigate the following chemo-attraction with consumption model in bounded domains of \, $R^{N}$ ( $N = 1, 2, 3$ ): $$ \partial_t u - Δu = - \nabla \cdot (u \nab…