Robustness of regularity for the 3D convective Brinkman-Forchheimer equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00121442" target="_blank" >RIV/00216224:14310/21:00121442 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2021.125058" target="_blank" >https://doi.org/10.1016/j.jmaa.2021.125058</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2021.125058" target="_blank" >10.1016/j.jmaa.2021.125058</a>

Result language
angličtina
Original language name
Robustness of regularity for the 3D convective Brinkman-Forchheimer equations
Original language description
We prove a robustness of regularity result for the 3D convective Brinkman-Forchheimer equations partial derivative(t)u - mu Delta u + (u . del) u + del p + alpha u + beta vertical bar u vertical bar(r-1) u = f, for the range of the absorption exponent r is an element of[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 3D incompressible Navier-Stokes equations by Chernyshenko et al. [5] and Dashti & Robinson [8].
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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