Yuchuan Yang

I am a mathematics Ph.D. student at the University of Michigan - Ann Arbor. My advisor is Selim Esedoglu.

Research Interests: Calculus of Variations, Partial Differential Equations, Optimal Transport

My current research focuses on the dynamics of multiphase curvature-driven flows. These are variational models that describe grain boundary evolution in materials science.

CV 

Upcoming Visits

Publications/Preprints

1. Yuchuan Yang. "Generalized Curvature for the Optimal Transport Problem Induced by a Tonelli Lagrangian". Calculus of Variations and Partial Differential Equations 62 (2023) Article no. 206 [arXiv][published] 

2. Silvia Sellán, Jack Luong, Leticia Mattos Da Silva, Aravind Ramakrishnan, Yuchuan Yang, Alec Jacobson. “Breaking Good: Fracture Modes for Realtime Destruction”. ACM Transactions on Graphics, 2022. [arXiv][published]

Conferences/Seminars/Talks/Workshops

• (8-9 May 2025) NSF CompMath Meeting 2025, University of Utah (Poster)

• (15-19 Jul 2024) Optimal Transport Through The Midwest, University of Wisconsin-Madison

• (13-17 May 2024) Recent Advances in Nonlinear Partial Differential Equations, University of Minnesota–Twin Cities.

• (14 Oct 2023) 2023 SIAM Great Lakes Section Meeting, Michigan State University (Contributed talk)

• (17-21 Jul 2023) 2023 LMS Invited Lecture Series (by Prof. Filippo Santambrogio), Durham, UK (Poster)

• (10-14 Jul 2023) Hausdorff School: "Analysis of PDEs: Variational and Geometric Perspectives", Hausdorff Center for Mathematics, Bonn, Germany (Poster)

• (5-7 May 2023) 87th Midwest PDE Seminar, University of Notre Dame.

• (11 Oct 2022) Student Analysis Seminar, University of Michigan (Talk)

Teaching

University of Michigan - Ann Arbor

• Fall 2024: Math 115 (Calculus I)

• Winter 2024: Math 115 (Calculus I)

• Fall 2023: Math 115 (Calculus I)

• Winter 2023: Math 116 (Calculus II)

• Fall 2022: Math 115 (Calculus I)