Approximation and Optimal Control of Dissipative Solutions to the Ericksen–Leslie System

DOI10.1080/01630563.2019.1632895zbMath1441.35246arXiv2001.01509OpenAlexW3106223709WikidataQ123239876 ScholiaQ123239876MaRDI QIDQ5238073

Robert Lasarzik

Publication date: 28 October 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01509

zbMATH Keywords

optimal controlnumerical approximationdissipative solutionsliquid crystalEricksen-Leslie system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Liquid crystals (76A15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items

On the existence of generalized solutions to a spatio-temporal predator-prey system with prey-taxis ⋮ Analysis and numerical approximation of energy-variational solutions to the Ericksen-Leslie equations ⋮ Analysis of a thermodynamically consistent Navier-Stokes-Cahn-Hilliard model ⋮ Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy ⋮ Maximally dissipative solutions for incompressible fluid dynamics ⋮ Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness

Cites Work

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• Nonparabolic dissipative systems modeling the flow of liquid crystals
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