| Title: |
A comparison principle for Hamilton-Jacobi equation with moving in time boundary |
| Authors: |
Zaydan, M; Forcadel, N |
| Contributors: |
Laboratoire de Mathématiques de l'INSA de Rouen Normandie (LMI); Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie); Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU) |
| Source: |
https://hal.science/hal-01617714 ; 2018. |
| Publisher Information: |
CCSD |
| Publication Year: |
2018 |
| Collection: |
Normandie Université: HAL |
| Subject Terms: |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| Description: |
In this paper we consider an Hamilton-Jacobi equation on a moving in time domain. The boundary is described by a C 1 function. We show how we derive this equation from the work of [25]. We only prove a comparison principle since the proof of other theoritical results can be found in [19]. At the end of the paper, we consider a short homogenization result in order to reinforce the traffic flow interpretation of the equation. |
| Document Type: |
report |
| Language: |
English |
| Availability: |
https://hal.science/hal-01617714; https://hal.science/hal-01617714v2/document; https://hal.science/hal-01617714v2/file/justification%20of%20bus%20mode.pdf |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.98A08D7A |
| Database: |
BASE |