3 papers
math.NA2026
Subspace curvature-scaling high-index saddle dynamics for accelerating ill-conditioned saddle point searches
Jianyuan Yin, Lei Zhang, Zhiyi Zhang
We propose a subspace curvature-scaling high-index saddle dynamics (SCS-HiSD) method to accelerate high-index saddle dynamics (HiSD) for locating ill-conditioned saddle points. The…
cond-mat.mtrl-sci2026
Exploring transition pathways in the Landau-Brazovskii model
Zhiyi Zhang, Gang Cui, Kai Jiang +4
The Landau-Brazovskii model provides a theoretical framework for describing various phases arising from competing short- and long-range interactions in many physical systems. In th…
math.AP2025
A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
Dawei Wu, Baoming Shi, Yucen Han +3
We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, an…