Long‐time dynamics of Ericksen–Leslie system on 𝕊2
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Publication:6183127
DOI10.1002/mma.9439arXiv2302.11748MaRDI QIDQ6183127
Publication date: 26 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.11748
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15)
Cites Work
- Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\)
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- Hydrostatic theory of liquid crystals
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- Rigidity in the harmonic map heat flow
- Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case
- Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency
- Degree theory of BMO. I: Compact manifolds without boundaries
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
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- Well-posedness of the Ericksen-Leslie system
- Finite time singularity of the nematic liquid crystal flow in dimension three
- On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in ℝ2
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
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