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- W4288375397 abstract "We prove a robustness of regularity result for the $3$D convective Brinkman-Forchheimer equations $$ partial_tu -muDelta u + (u cdot nabla)u + nabla p + alpha u + betaabs{u}^{r - 1}u = f, $$ for the range of the absorption exponent $r in [1, 3]$ (for $r > 3$ there exist global-in-time regular solutions), i.e. we show that strong solutions of these equations remain strong under small enough changes of the initial condition and forcing function. We provide a smallness condition which is similar to the robustness conditions given for the $3$D incompressible Navier-Stokes equations by Chernyshenko et al. (2007) and Dashti & Robinson (2008)." @default.
- W4288375397 created "2022-07-29" @default.
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- W4288375397 date "2019-04-05" @default.
- W4288375397 modified "2023-10-16" @default.
- W4288375397 title "Robustness of Regularity for the $3$D Convective Brinkman-Forchheimer Equations" @default.
- W4288375397 doi "https://doi.org/10.48550/arxiv.1904.03311" @default.
- W4288375397 hasPublicationYear "2019" @default.
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