Shape derivative for the Dirichlet-to-Neumann operator on a manifold and application to cellular protrusion
Analysis of PDEs
2025-04-03 v1
Abstract
We establish a shape-derivative formula for the Dirichlet-to-Neumann operator on a compact manifold. Then, we apply this formula to obtain the well-posedness in H 1 under a specific Rayleigh-Taylor condition to an equation describing cell protrusions. This equation is a generalisation of the theoretical part of [9] to any -2D as well as 3D-surfaces.
Keywords
Cite
@article{arxiv.2504.01493,
title = {Shape derivative for the Dirichlet-to-Neumann operator on a manifold and application to cellular protrusion},
author = {F Noisette},
journal= {arXiv preprint arXiv:2504.01493},
year = {2025}
}