For questions about different versions of mean curvature flow, including the level set flow and Brakke flow.
The mean curvature flow is a family of immersions $M_t$ so that $$\partial_t M_t = \vec H_t,$$ where $\vec H_t$ is the mean curvature vector. The mean curvature flow is the gradient flow of the area functional, and is related to the study of minimal surfaces. Any questions concerning mean curvature flow should use this tags. These include
Level set flow (consider also using the tags viscosity solution, pde)
Brakke flow (consider also using the tag geometric measure theory)
Huisken's monotonicity formula, type I/II singularities, self-shrinkers.
Self-expanders and translating soliton in mean curvature flow.
$F$-stability, entropy stability of self-shrinkers.
Normalized mean curvature flow
To improve visibility of the question, consider also using the tags differential-geometry or riemannian-geometry.
