Dalby, James; Han, Yucen; Majumdar, Apala; Mrad, Lidia A multifaceted study of nematic order reconstruction in microfluidic channels. (English) Zbl 07780338 SIAM J. Appl. Math. 83, No. 6, 2284-2309 (2023). MSC: 76A15 34B60 34E10 82D30 34B15 34E15 PDFBibTeX XMLCite \textit{J. Dalby} et al., SIAM J. Appl. Math. 83, No. 6, 2284--2309 (2023; Zbl 07780338) Full Text: DOI arXiv
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere. (English) Zbl 07752388 Sci. China, Math. 66, No. 10, 2347-2360 (2023). MSC: 37N30 65L20 65L05 65L06 65P40 PDFBibTeX XMLCite \textit{L. Zhang} et al., Sci. China, Math. 66, No. 10, 2347--2360 (2023; Zbl 07752388) Full Text: DOI arXiv
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape. (English) Zbl 07749866 Japan J. Ind. Appl. Math. 40, No. 3, 1677-1693 (2023). MSC: 37M05 60G15 65D15 62L05 65P40 PDFBibTeX XMLCite \textit{L. Zhang} et al., Japan J. Ind. Appl. Math. 40, No. 3, 1677--1693 (2023; Zbl 07749866) Full Text: DOI arXiv
Shi, Baoming; Han, Yucen; Yin, Jianyuan; Majumdar, Apala; Zhang, Lei Hierarchies of critical points of a Landau-de Gennes free energy on three-dimensional cuboids. (English) Zbl 1512.35485 Nonlinearity 36, No. 5, 2631-2654 (2023). MSC: 35Q35 76A15 35A15 35B32 35B38 35R09 49M41 65M30 65K10 65H10 65N06 65F15 65F08 65F10 PDFBibTeX XMLCite \textit{B. Shi} et al., Nonlinearity 36, No. 5, 2631--2654 (2023; Zbl 1512.35485) Full Text: DOI arXiv
Zhang, Yuze; Yang, Xuguang; Zhang, Lei; Li, Yiteng; Zhang, Tao; Sun, Shuyu Energy landscape analysis for two-phase multi-component NVT flash systems by using ETD type high-index saddle dynamics. (English) Zbl 07652809 J. Comput. Phys. 477, Article ID 111916, 15 p. (2023). MSC: 65Mxx 35Qxx 37Mxx PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Phys. 477, Article ID 111916, 15 p. (2023; Zbl 07652809) Full Text: DOI
Han, Yucen; Majumdar, Apala Multistability for a reduced nematic liquid crystal model in the exterior of 2D polygons. (English) Zbl 07642689 J. Nonlinear Sci. 33, No. 2, Paper No. 24, 34 p. (2023). MSC: 82-XX 74-XX PDFBibTeX XMLCite \textit{Y. Han} and \textit{A. Majumdar}, J. Nonlinear Sci. 33, No. 2, Paper No. 24, 34 p. (2023; Zbl 07642689) Full Text: DOI arXiv
Shi, Baoming; Han, Yucen; Zhang, Lei Nematic liquid crystals in a rectangular confinement: solution landscape, and bifurcation. (English) Zbl 1500.35244 SIAM J. Appl. Math. 82, No. 5, 1808-1828 (2022). MSC: 35Q35 76A15 35B32 35B38 49K35 35R09 37N30 65M06 65P99 PDFBibTeX XMLCite \textit{B. Shi} et al., SIAM J. Appl. Math. 82, No. 5, 1808--1828 (2022; Zbl 1500.35244) Full Text: DOI arXiv
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng Error estimates for Euler discretization of high-index saddle dynamics. (English) Zbl 1507.37110 SIAM J. Numer. Anal. 60, No. 5, 2925-2944 (2022). MSC: 37M05 37M15 37N30 65P40 65L06 65L20 PDFBibTeX XMLCite \textit{L. Zhang} et al., SIAM J. Numer. Anal. 60, No. 5, 2925--2944 (2022; Zbl 1507.37110) Full Text: DOI arXiv
Yao, Xiaomei; Xu, Jie; Zhang, Lei Transition pathways in cylinder-gyroid interface. (English) Zbl 1496.82027 Commun. Comput. Phys. 32, No. 3, 810-828 (2022). MSC: 82D60 37M05 49K35 37N30 35Q74 65P99 PDFBibTeX XMLCite \textit{X. Yao} et al., Commun. Comput. Phys. 32, No. 3, 810--828 (2022; Zbl 1496.82027) Full Text: DOI arXiv
Han, Yucen; Majumdar, Apala Pattern formation for nematic liquid crystals – modelling, analysis, and applications. (English) Zbl 1500.76002 Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 399-431 (2022). MSC: 76A15 76M30 76-02 35Q35 82D30 PDFBibTeX XMLCite \textit{Y. Han} and \textit{A. Majumdar}, Assoc. Women Math. Ser. 31, 399--431 (2022; Zbl 1500.76002) Full Text: DOI arXiv
Luo, Yue; Zheng, Xiangcheng; Cheng, Xiangle; Zhang, Lei Convergence analysis of discrete high-index saddle dynamics. (English) Zbl 1506.37101 SIAM J. Numer. Anal. 60, No. 5, 2731-2750 (2022). MSC: 37M05 37N30 65P40 65L20 PDFBibTeX XMLCite \textit{Y. Luo} et al., SIAM J. Numer. Anal. 60, No. 5, 2731--2750 (2022; Zbl 1506.37101) Full Text: DOI arXiv
Yu, Bing; Zheng, Xiangcheng; Zhang, Pingwen; Zhang, Lei Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm. (English) Zbl 07578919 J. Comput. Phys. 468, Article ID 111513, 16 p. (2022). MSC: 65Mxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{B. Yu} et al., J. Comput. Phys. 468, Article ID 111513, 16 p. (2022; Zbl 07578919) Full Text: DOI arXiv
Yin, Jianyuan; Zhang, Lei; Zhang, Pingwen Solution landscape of the Onsager model identifies non-axisymmetric critical points. (English) Zbl 07479426 Physica D 430, Article ID 133081, 12 p. (2022). MSC: 82-XX 92-XX PDFBibTeX XMLCite \textit{J. Yin} et al., Physica D 430, Article ID 133081, 12 p. (2022; Zbl 07479426) Full Text: DOI arXiv
Wang, Wei; Zhang, Lei; Zhang, Pingwen Modelling and computation of liquid crystals. (English) Zbl 07674577 Acta Numerica 30, 765-851 (2021). MSC: 65Mxx 76-XX PDFBibTeX XMLCite \textit{W. Wang} et al., Acta Numerica 30, 765--851 (2021; Zbl 07674577) Full Text: DOI arXiv