This work is devoted to establish an improved blow-up criterion for strong solutions to a three-dimensional compressible non-Newtonian fluid with vacuum. The considered system is the Power Law model in a bounded periodic domain in R^3.We establish a blow-up criterion for the local strong solutions in terms of the L^4(0,T;L∞({Ω}))norm of the gradient of the velocity for any power-law index q is greater than 1.
No takes yet. Share an insight, caveat, or question.
Guo et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: