Blow-up criterion for a three-dimensional compressible non-Newtonian fluid with vacuum
Abstract
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 R3.We establish a blow-up criterion for the local strong solutions in terms of the L4(0,T;L∞())norm of the gradient of the velocity for any power-law index q is greater than 1.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.