Dr Wenhui Shi

T: +61 3 99054413
E: wenhui.shi@monash.edu

* Personal Website
* Monash University Researcher Profile - including biography, publications and grants

Research Overview

I am interested in nonlinear partial differential equations and calculus of variations. More specifically, I work on free boundary problems (obstacle and Stefan type problems) and micromagnetics.

Selected Publications

[1] Rüland, Angkana ; Shi, Wenhui. "Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system". In: Nonlinear Analysis, Theory, Methods and Applications. Volume 217, April 2022, Article number 112762 https://doi.org/10.1016/j.na.2021.112762

[2] Knüpfer, Hans; Shi, Wenhui. "Γ -Limit for Two-Dimensional Charged Magnetic Zigzag Domain Walls". In:
Archive for Rational Mechanics and Analysis, 2021; Vol. 239, pp.1875-1923. https://doi.org/10.1007/s00205-021-01606-x

[3] Shi, Wenhui. "An epiperimetric inequality approach to the parabolic Signorini problem". In: Discrete and Continuous Dynamical Systems Series A. 2020 ; Vol. 40, No. 3. pp. 1813-1846. https://doi.org/10.3934/dcds.2020095

[4] Koch, Herbert ; Rüland, Angkana ; Shi, Wenhui. "The variable coefficient thin obstacle problem : Carleman inequalities". In: Advances in Mathematics. 2016 ; Vol. 301. pp. 820-866. https://doi.org/10.1016/j.aim.2016.06.023

[5] Koch, Herbert ; Petrosyan, Arshak ; Shi, Wenhui. "Higher regularity of the free boundary in the elliptic Signorini problem". In: Nonlinear Analysis, Theory, Methods and Applications. 2015 ; Vol. 126. pp. 3-44. https://doi.org/10.1016/j.na.2015.01.007

(For the full list, please refer to my personal webpage)