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We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed… Click to show full abstract
We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed to have jump discontinuities on some (unknown) set. The free energy functional contains an interfacial energy which penalizes dislocations of the smectic layers at the jump. We discuss mathematical issues related to the existence of minimizers and provide examples of minimizers in some simplified settings.
Keywords:
thin films;
model smectic;
free discontinuity;
smectic thin;
discontinuity model
Journal Title: Liquid Crystals
Year Published: 2022
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Journal Title: Liquid Crystals
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!