Existence of the periodic solution to the nematic liquid crystal equations in weighted Sobolev spaces

This paper is concerned with the time‐periodic solution to the simplified incompressible nematic liquid crystal equation. We prove the existence of the time‐periodic solution of this equation with small external forces g1 and g2, satisfying the T‐periodic conditions gj(t)=gj(t+T) for j=1,2 in weight...

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-01, Vol.43 (2), p.727-746
Hauptverfasser: Guo, Boling, Qin, Guoquan
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with the time‐periodic solution to the simplified incompressible nematic liquid crystal equation. We prove the existence of the time‐periodic solution of this equation with small external forces g1 and g2, satisfying the T‐periodic conditions gj(t)=gj(t+T) for j=1,2 in weighted Sobolev spaces.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5952