We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical thermodynamics. The resulting system of equations captures all essential features of physically relevant models; in particular, the effect of stretching of the director field is taken into account. In addition, the associated initial-boundary value problem admits global-in-time weak solutions without any essential restrictions on the size of the initial data.

A new approach to non-isothermal models for nematic liquid crystals / E. Feireisl, M. Fremond, E. Rocca, G. Schimperna. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 205:2(2012), pp. 651-672. [Epub ahead of print]

A new approach to non-isothermal models for nematic liquid crystals

E. Rocca
Penultimo
;
2012

Abstract

We introduce a new class of non-isothermal models describing the evolution of nematic liquid crystals and prove their consistency with the fundamental laws of classical thermodynamics. The resulting system of equations captures all essential features of physically relevant models; in particular, the effect of stretching of the director field is taken into account. In addition, the associated initial-boundary value problem admits global-in-time weak solutions without any essential restrictions on the size of the initial data.
Settore MAT/05 - Analisi Matematica
   Entropy formulation of evolutionary phase transitions
   ENTROPHASE
   EUROPEAN COMMISSION
   H2020
   256872
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/176920
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