8 citations · 19 across the 6 of their papers we have counts for
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math.OC2022★ 1 cited
Optimal control related to weak solutions of a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we investigate an optimal control problem related to the following chemotaxis-consumption model in a bounded domain : $$\partial_t u - Δu…
math.NA2022★ 4 cited
Convergence of a time discrete scheme for a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we propose and study a time discrete scheme for the following chemotaxis-consumption model (for any ), $$ \partial_t u - Δu = - \nabla \cdot (u \nabla v…
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 \, (): $$ \partial_t u - Δu = - \nabla \cdot (u \nab…