TY - JOUR
T1 - A weak-Lp Prodi-Serrin type regularity criterion for the micropolar fluid equations
AU - Loayza, Miguel
AU - Rojas-Medar, Marko A.
PY - 2016/2
Y1 - 2016/2
N2 - We investigate regularity criteria for weak solutions of the micropolar fluid equations in a bounded three-dimensional domain.We show that the solution (u,w) is strong on [0,T] if either u ∈ Ls(0,T; Lr,∞(Ω)) or ||u||Ls,∞(0,T;Lr,∞(Ω) is bounded from above by a specific constant, where (3/r) + (2/s) = 1 and r > 3. C 2016 AIP Publishing LLC.
AB - We investigate regularity criteria for weak solutions of the micropolar fluid equations in a bounded three-dimensional domain.We show that the solution (u,w) is strong on [0,T] if either u ∈ Ls(0,T; Lr,∞(Ω)) or ||u||Ls,∞(0,T;Lr,∞(Ω) is bounded from above by a specific constant, where (3/r) + (2/s) = 1 and r > 3. C 2016 AIP Publishing LLC.
UR - https://www.scopus.com/pages/publications/84974665936
U2 - 10.1063/1.4942047
DO - 10.1063/1.4942047
M3 - Article
AN - SCOPUS:84974665936
SN - 0022-2488
VL - 57
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 2
M1 - 021512
ER -