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November 20, 2025Archive for Rational Mechanics and Analysis0 citationsOpen Access

Ericksen-Leslie Theory for Well-posed Nematic Liquid Crystal Flows

Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors

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Authors

MHMatthias HieberJLJinkai LiMWMathias Wilke

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Overview

The analysis shows existence of unique solutions for nematic liquid crystal flows, suggesting strong mathematical foundations for modeling fluids.

Key Points

  • A local strong Lp-solution exists for the nematic liquid crystal system, ensuring reliable modeling of fluid behavior.
  • The analysis demonstrates continuous dependence on initial conditions for isothermal, incompressible fluid flows.
  • This study employs a nonlinear boundary condition, central to maintaining physical principles in the Ericksen-Leslie framework.
  • Findings highlight a significant advancement in proving well-posedness without reliance on Leslie coefficient assumptions.
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Cite This Study

Hieber et al. (2025) studied this question.

synapsesocial.com/papers/6924f07fc0ce034ddc350031https://doi.org/10.1007/s00205-025-02150-8
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