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- W4297497029 abstract "This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics in a bounded domain of R d , d = 2 , 3 . First, we study the existence of global weak solutions and establish a regularity criterion which provides sufficient conditions to ensure the strong regularity of the weak solutions. After, we propose a finite element numerical scheme approximating the continuous model, for which we study the well-posedness and derive some uniform estimates for the discrete variables. We present a convergence analysis proving optimal error estimates and show some numerical simulations in agreement with our theoretical analysis and theoretical results reported in previous works." @default.
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- W4297497029 date "2023-02-01" @default.
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- W4297497029 title "On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: Theoretical and numerical analysis" @default.
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- W4297497029 doi "https://doi.org/10.1016/j.apnum.2022.09.009" @default.
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