A BLOW-UP CRITERION OF STRONG SOLUTIONS TO TWO-DIMENSIONAL NONHOMOGENEOUS MICROPOLAR FLUID EQUATIONS WITH VACUUM

摘要

We deal with the Cauchy problem of nonhomogeneous micropolar fluid equations with zero density at infinity in the entire space R~2. We show that for the initial density allowing vacuum, the strong solution exists globally if a weighted density is bounded from above. It should be noted that our blow-up criterion is independent of micro-rotational velocity.