TY - JOUR
T1 - Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals
AU - Murata, Miho
AU - Shibata, Yoshihiro
N1 - Funding Information:
Partially support by JSPS Grant-in-aid for Scientific Research (A) 17H0109 and Top Global University Project.
Funding Information:
M. Murata: Partially supported by JSPS Grant-in-aid for Young Scientists 21K13819.
Publisher Copyright:
© 2022, The Author(s).
PY - 2022/5
Y1 - 2022/5
N2 - In this paper, we prove the global well posedness and the decay estimates for a Q-tensor model of nematic liquid crystals in RN, N≥ 3. This system is a coupled system by the Navier–Stokes equations with a parabolic-type equation describing the evolution of the director fields Q. The proof is based on the maximal Lp–Lq regularity and the Lp–Lq decay estimates to the linearized problem.
AB - In this paper, we prove the global well posedness and the decay estimates for a Q-tensor model of nematic liquid crystals in RN, N≥ 3. This system is a coupled system by the Navier–Stokes equations with a parabolic-type equation describing the evolution of the director fields Q. The proof is based on the maximal Lp–Lq regularity and the Lp–Lq decay estimates to the linearized problem.
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U2 - 10.1007/s00021-022-00677-4
DO - 10.1007/s00021-022-00677-4
M3 - Article
AN - SCOPUS:85126288646
SN - 1422-6928
VL - 24
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
IS - 2
M1 - 34
ER -