Publication details
Robustness of regularity for the 3D convective Brinkman-Forchheimer equations
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.jmaa.2021.125058 |
| 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 |
| 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]. |