Symmetry and Blow-Up for 3D Modified CBF Equations in Sobolev–Gevrey Spaces
Year: 2025
Type: article
Abstract: We study the three-dimensional modified critical homogeneous convective Brinkman–Forchheimer equations. Local existence and uniqueness are obtained via the Fixed Point Theorem, and under the assumption of finite maximal existence time, we establish blow-up criteria in Sobolev–Gevrey spaces. The model preserves Euclidean invariances (translations and rotations) and, when α=0, the critical scaling symmetry of the 3D Navier-Stokes system. The blow-up thresholds are shown to depend mainly on the Gevrey structure rather than on any loss of symmetry.
Source: Symmetry
DOI: 10.3390/sym17111877
Authors: Lotfi Jlali, Ibtehal Alazman
Institution: Imam Mohammad ibn Saud Islamic University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4415923960