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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.01493 |
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| _version_ | 1866917974234890240 |
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| author | Noisette, F |
| author_facet | Noisette, F |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shape derivative for the Dirichlet-to-Neumann operator on a manifold and application to cellular protrusion Noisette, F Analysis of PDEs 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. |
| title | Shape derivative for the Dirichlet-to-Neumann operator on a manifold and application to cellular protrusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.01493 |