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2023
Han, Yucen and Shi, Baoming and Zhang, Lei and Majumdar, Apala (2023) A reduced Landau-de Gennes study for nematic equilibria in three-dimensional prisms. IMA Journal of Applied Mathematics. ISSN 1464-3634 (In Press)
Dalby, James and Han, Yucen and Majumdar, Apala and Mrad, Lidia (2023) A multi-faceted study of nematic order reconstruction in microfluidic channels. Preprint / Working Paper. arXiv.org, Ithaca, NY. (In Press)
Dalby, James and Han, Yucen and Majumdar, Apala and Mrad, Lidia (2023) A multi-faceted study of nematic order reconstruction in microfluidic channels. SIAM Journal on Applied Mathematics. ISSN 0036-1399 (In Press)
Shi, Baoming and Han, Yucen and Yin, Jianyuan and Majumdar, Apala and Zhang, Lei (2023) Hierarchies of critical points of a Landau-de Gennes free energy on three-dimensional cuboids. Nonlinearity, 36 (5). pp. 2631-2654. ISSN 0951-7715
Han, Yucen and Majumdar, Apala (2023) Multistability for a reduced nematic liquid crystal model in the exterior of 2D polygons. Journal of Nonlinear Science, 33 (2). 24. ISSN 1432-1467
2022
Shi, Baoming and Han, Yucen and Zhang, Lei (2022) Nematic liquid crystals in a rectangular confinement : solution landscape, and bifurcation. SIAM Journal on Applied Mathematics, 82 (5). pp. 1808-1828. ISSN 0036-1399
Han, Yucen and Dalby, James and Majumdar, Apala and Carter, Benjamin M. G. D. and Machon, Thomas (2022) Uniaxial versus biaxial pathways in one-dimensional cholesteric liquid crystals. Physical Review Research, 4 (3). L032018. ISSN 2643-1564
Han, Yucen and Harris, Joseph and Majumdar, Apala and Zhang, Lei (2022) Elastic anisotropy in the reduced Landau-de Gennes model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2261). ISSN 1471-2962
2021
Han, Yucen and Yin, Jianyuan and Hu, Yucheng and Majumdar, Apala and Zhang, Lei (2021) Solution landscapes of the simplified Ericksen--Leslie model and its comparison with the reduced Landau--de Gennes model. Proceedings of the Royal Society Part A - Mathematical, Physical and Engineering Sciences, 477 (2253). 20210458. ISSN 1471-2962
Xu, Zhen and Han, Yucen and Yin, Jianyuan and Yu, Bing and Nishiura, Yasumasa and Zhang, Lei (2021) Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement. Physical Review E, 104 (1). 014505. ISSN 2470-0053
Han, Yucen and Harris, Joseph and Majumdar, Apala and Walton, Joshua (2021) Tailored nematic and magnetization profiles on two-dimensional polygons. Physical Review E, 103 (5). 052702. ISSN 2470-0053
Han, Yucen and Yin, Jianyuan and Zhang, Pingwen and Majumdar, Apala and Zhang, Lei (2021) Solution landscape of a reduced Landau-de Gennes model on a hexagon. Nonlinearity, 34 (4). 2048–2069. ISSN 0951-7715