Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09273 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912153658720256 |
|---|---|
| author | Mecherbet, Amina Sueur, Franck |
| author_facet | Mecherbet, Amina Sueur, Franck |
| contents | The AHT equation is a non linear and non local vectorial transport equation which was introduced in 2003 by Angenent, Haker and Tannenbaum in optimal transport theory. For this equation, classical solutions are known to exist at least locally in time, and a flow map can thus be uniquely associated with these solutions. In this paper we consider the case where the equation is set in a bounded domain with an analytic boundary and we prove that the flow map is analytic with respect to time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the analyticity of the flow map for the AHT equations Mecherbet, Amina Sueur, Franck Analysis of PDEs The AHT equation is a non linear and non local vectorial transport equation which was introduced in 2003 by Angenent, Haker and Tannenbaum in optimal transport theory. For this equation, classical solutions are known to exist at least locally in time, and a flow map can thus be uniquely associated with these solutions. In this paper we consider the case where the equation is set in a bounded domain with an analytic boundary and we prove that the flow map is analytic with respect to time. |
| title | On the analyticity of the flow map for the AHT equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.09273 |