Browsing by Author "67731ebf-4989-402e-83d4-3e1dea39d403"
Now showing items 1-7 of 7
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(Elsevier, 2016)A maximum principle is established for minimal solutions to the system u −∇W(u) =0, with a potential Wvanishing at the boundary of a closed convex set C0⊂Rm, which is either C2smooth or coincides with a point {a}.
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(World Scientific Publishing, 2020)In this paper, we describe domain walls appearing in a thin, nematic liquid crystal sample subject to an external field with intensity close to the Freedericksz transition threshold. Using the gradient theory of the phase ...
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(Elsevier, 2018-08)We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these systems is a union of manifolds, and the ...
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(Springer, 2018)We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per fundamental cell. We also revisit the existence proof for the Abrikosov ...
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(OSA - The Optical Society, 2019)Optical vortices and lattices of these are attracting the attention of the scientific community because of their applications in various fields of optical processing, communications, enhanced imaging systems, and bio-inspired ...
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(Springer, 2018-06)In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...
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(Springer, 2017)We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show that depending on the parameters various defects are predicted ...
