Dr Wenhui Shi
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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] Knüpfer, Hans ; Shi, Wenhui. "Γ-limit for two-dimensional charged magnetic zigzag domain walls". Submitted. 2020. https://arxiv.org/abs/2005.02857
[2] 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
[3] 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
[4] 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)