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Zhiyuan Geng
Zhiyuan Geng
Golomb Visiting Assistant Professor of Mathematics, Purdue University
Verified email at purdue.edu - Homepage
Title
Cited by
Cited by
Year
Regularity of minimizers of a tensor-valued variational obstacle problem in three dimensions
Z Geng, J Tong
Calculus of Variations and Partial Differential Equations 59 (2), 57, 2020
72020
Stability of half-degree point defect profiles for 2-D nematic liquid crystal
Z Geng, W Wang, P Zhang, Z Zhang
arXiv preprint arXiv:1601.02845, 2016
62016
The two-dimensional liquid crystal droplet problem with a tangential boundary condition
Z Geng, F Lin
Archive for Rational Mechanics and Analysis 243 (3), 1181-1221, 2022
52022
On the Triple Junction Problem without Symmetry Hypotheses
ND Alikakos, Z Geng
Archive for Rational Mechanics and Analysis 248 (2), 24, 2024
32024
Global existence of weak solutions for a model of nematic liquid crystal-colloidal interactions
Z Geng, A Roy, A Zarnescu
SIAM Journal on Mathematical Analysis 56 (4), 4324-4355, 2024
12024
Uniqueness of the blow‐down limit for a triple junction problem
Z Geng
Communications on Pure and Applied Mathematics, 2024
12024
On the triple junction problem with general surface tension coefficients
ND Alikakos, Z Geng
arXiv preprint arXiv:2304.13106, 2023
12023
Uniform profile near the point defect of Landau-de Gennes model
Z Geng, A Zarnescu
Calculus of Variations and Partial Differential Equations 62 (1), 3, 2023
12023
On the triple junction problem on the plane without symmetry hypotheses
ND Alikakos, Z Geng
arXiv preprint arXiv:2210.17134, 2022
12022
Large m asymptotics for minimal partitions of the Dirichlet eigenvalue
Z Geng, F Lin
Science China Mathematics 65, 1-8, 2022
12022
Rigidity results for a triple junction solution of Allen-Cahn system
Z Geng
arXiv preprint arXiv:2412.02954, 2024
2024
On forward self-similar heat flow of harmonic maps
Z Geng, C Wang, J Yu
arXiv preprint arXiv:2409.19909, 2024
2024
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability
Z Geng, W Wang
Science China Mathematics, 1-26, 2024
2024
A unified approach towards the impossibility of finite time vanishing depth for incompressible free boundary flows
Z Geng, R Granero-Belinchón
Proceedings of the American Mathematical Society 151 (02), 707-722, 2023
2023
Asymptotic behavior of the interface for entire vector minimizers in phase transitions
ND Alikakos, Z Geng, A Zarnescu
Journal of Functional Analysis 283 (6), 109565, 2022
2022
Asymptotic behavior of the free interface for entire vector minimizers in phase transitions
ND Alikakos, Z Geng, A Zarnescu
arXiv preprint arXiv:2112.00796, 2021
2021
Geometric Variational Problems and Nematic Liquid Crystals
Z Geng
New York University, 2020
2020
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