article published yes Sebastian Hensel author 4D23B7DA-F248-11E8-B48F-1D18A9856A870000-0001-7252-8072 Tim Laux author JuFi department We study weak solutions to mean curvature flow satisfying Young’s angle condition for general contact angles α ∈ (0, π). First, we construct BV solutions by using the Allen-Cahn approximation with boundary contact energy as proposed by Owen and Sternberg. Second, we prove the weak-strong uniqueness and stability for this solution concept. The main ingredient for both results is a relative energy, which can also be interpreted as a tilt excess. Indiana University Mathematics Journal2024 eng 0022-2518 2112.1115010.1512/iumj.2024.73.9701 731111-148 S. Hensel and T. Laux, “BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness,” <i>Indiana University Mathematics Journal</i>, vol. 73, no. 1. Indiana University Mathematics Journal, pp. 111–148, 2024. Hensel S, Laux T. BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. <i>Indiana University Mathematics Journal</i>. 2024;73(1):111-148. doi:<a href="https://doi.org/10.1512/iumj.2024.73.9701">10.1512/iumj.2024.73.9701</a> Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” <i>Indiana University Mathematics Journal</i>, vol. 73, no. 1, Indiana University Mathematics Journal, 2024, pp. 111–48, doi:<a href="https://doi.org/10.1512/iumj.2024.73.9701">10.1512/iumj.2024.73.9701</a>. S. Hensel, T. Laux, Indiana University Mathematics Journal 73 (2024) 111–148. Hensel, S., &#38; Laux, T. (2024). BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. <i>Indiana University Mathematics Journal</i>. Indiana University Mathematics Journal. <a href="https://doi.org/10.1512/iumj.2024.73.9701">https://doi.org/10.1512/iumj.2024.73.9701</a> Hensel S, Laux T. 2024. BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. Indiana University Mathematics Journal. 73(1), 111–148. Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” <i>Indiana University Mathematics Journal</i>. Indiana University Mathematics Journal, 2024. <a href="https://doi.org/10.1512/iumj.2024.73.9701">https://doi.org/10.1512/iumj.2024.73.9701</a>. 189262025-01-27T15:20:19Z2025-01-27T15:23:57Z