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Anupam Pal Choudhury ( Johann Radon Institut (RICAM), Austria)
Date & Time
Wed, 02 May 2018, 15:00 to 16:00
Emmy Noether Seminar Room, ICTS Campus, Bangalore

In this talk, we shall discuss the simplified Ericksen–Leslie model for nematic liquid crystals in three dimensional bounded Lipschitz domains. Applying a semilinear approach, we shall discuss the proof of local and global well-posedness (assuming a smallness condition on the initial data) in critical spaces for initial data in L 3 σ for the fluid and W1,3 for the director field. The analysis of such models, so far, has been restricted to domains with smooth boundaries.