Methods and Applications of Analysis

Volume 16 (2009)

Number 4

A Blowup Criterion for the Full Compressible Navier-Stokes Equations

Pages: 491 – 506



Xiangdi Huang


In this paper, we establish a blow up criterion for strong solutions of the full compressible Navier-Stokes equations just in terms of the gradient of the velocity. It shows that the gradient of the velocity alone dominates the global existence of strong solutions.


Blowup, full compressible Navier-Stokes

2010 Mathematics Subject Classification

35Q30, 76N10

Published 1 January 2009