Seminario: U. Zerbinati

From Polyatomic Gas to Liquid Crystals: A Kinetic Approach

Giovedì 16 Maggio, alle ore 13:00 in Aula 3014 - Edificio U5, Umberto Zerbinati (Mathematical Institute, University of Oxford) terrà il seguente seminario

Titolo: From Polyatomic Gas to Liquid Crystals: A Kinetic Approach

Abstract: Presenting a novel kinetic model for calamitic fluids, we diverge from traditional Curtiss theory by incorporating nematic ordering. Through a kinetic point of view, we derive anenergy functional akin to the Oseen-Frank energy, enhancing understanding of anisotropic effects. Employing the Noll-Coleman procedure we obtain a novel expression for stress andcouple-stress tensors. Additionally, we develop an existence and uniqueness theory forstationary solutions of modified Leslie-Eriksen equations with a prescribed nematic field,utilizing Muckenhoupt weighted Sobolev spaces.

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