Local well-posedness is shown for 3D fluid-2D elastic shell interaction, with global extension in the 2D fluid-1D shell case until possible self-intersection.
arXiv preprint arXiv:2510.13753 (2025)
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Global weak solutions exist for the simplified 2D Ericksen-Leslie liquid crystal model coupled to a 1D flexible shell, with convergence of Ginzburg-Landau approximations to the unapproximated system barring shell degeneracies.
citing papers explorer
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Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
Local well-posedness is shown for 3D fluid-2D elastic shell interaction, with global extension in the 2D fluid-1D shell case until possible self-intersection.
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The simplified 2D Ericksen-Leslie liquid crystal model interacting with a 1D flexible shell
Global weak solutions exist for the simplified 2D Ericksen-Leslie liquid crystal model coupled to a 1D flexible shell, with convergence of Ginzburg-Landau approximations to the unapproximated system barring shell degeneracies.