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Robustness of regularity for the 3D Convective Brinkman-Forchheimer equations
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Hajduk, Karol W., Robinson, James C. and Sadowksi, Witold (2021) Robustness of regularity for the 3D Convective Brinkman-Forchheimer equations. Journal of Mathematical Analysis and Applications, 500 (1). 125058. doi:10.1016/j.jmaa.2021.125058 ISSN 0022-247X.
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WRAP-Robustness-regularity-3D-convective-Brinkman-Forchheimer-2021.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (989Kb) | Preview |
Official URL: https://doi.org/10.1016/j.jmaa.2021.125058
Abstract
We prove a robustness of regularity result for the 3D convective Brinkman–Forchheimer equations
∂tu − µ∆u + (u · ∇)u + ∇p + αu + β |u| r−1 u = f,
for the range of the absorption exponent r ∈ [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 initial condition and forcing function. We provide a smallness condition which is similar to the robustness conditions given for the 3D incompressible Navier–Stokes equations by Chernyshenko et al. [5] and Dashti & Robinson [8].
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Navier-Stokes equations, Differential equations, Partial, Fluid dynamics | ||||||||||||
| Journal or Publication Title: | Journal of Mathematical Analysis and Applications | ||||||||||||
| Publisher: | Elsevier | ||||||||||||
| ISSN: | 0022-247X | ||||||||||||
| Official Date: | 1 August 2021 | ||||||||||||
| Dates: |
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| Volume: | 500 | ||||||||||||
| Number: | 1 | ||||||||||||
| Article Number: | 125058 | ||||||||||||
| DOI: | 10.1016/j.jmaa.2021.125058 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 11 February 2021 | ||||||||||||
| Date of first compliant Open Access: | 10 February 2022 | ||||||||||||
| RIOXX Funder/Project Grant: |
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