HAJDUK, Karol, James C. ROBINSON a Witold SADOWSKI. Robustness of regularity for the 3D convective Brinkman-Forchheimer equations. Journal of Mathematical Analysis and Applications. Elsevier, 2021, roč. 500, č. 1, s. "125058", 23 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2021.125058. |
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@article{1762218, author = {Hajduk, Karol and Robinson, James C. and Sadowski, Witold}, article_number = {1}, doi = {http://dx.doi.org/10.1016/j.jmaa.2021.125058}, keywords = {Convective Brinkman-Forchheimer; Tamed Navier-Stokes; Robustness of regularity; Local strong solutions; Weak-strong uniqueness; Subcritical exponent}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {Robustness of regularity for the 3D convective Brinkman-Forchheimer equations}, url = {https://doi.org/10.1016/j.jmaa.2021.125058}, volume = {500}, year = {2021} }
TY - JOUR ID - 1762218 AU - Hajduk, Karol - Robinson, James C. - Sadowski, Witold PY - 2021 TI - Robustness of regularity for the 3D convective Brinkman-Forchheimer equations JF - Journal of Mathematical Analysis and Applications VL - 500 IS - 1 SP - "125058" EP - "125058" PB - Elsevier SN - 0022247X KW - Convective Brinkman-Forchheimer KW - Tamed Navier-Stokes KW - Robustness of regularity KW - Local strong solutions KW - Weak-strong uniqueness KW - Subcritical exponent UR - https://doi.org/10.1016/j.jmaa.2021.125058 N2 - 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]. ER -
HAJDUK, Karol, James C. ROBINSON a Witold SADOWSKI. Robustness of regularity for the 3D convective Brinkman-Forchheimer equations. \textit{Journal of Mathematical Analysis and Applications}. Elsevier, 2021, roč.~500, č.~1, s.~''125058'', 23 s. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2021.125058.
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