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Pré-Publication, Document De Travail Année : 2018

A comparison principle for Hamilton-Jacobi equation with moving in time boundary

Résumé

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.
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Dates et versions

hal-01617714 , version 1 (16-10-2017)
hal-01617714 , version 2 (05-09-2018)

Identifiants

  • HAL Id : hal-01617714 , version 2

Citer

M Zaydan, N Forcadel. A comparison principle for Hamilton-Jacobi equation with moving in time boundary. 2018. ⟨hal-01617714v2⟩
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