Affordable Access

Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation

Authors
  • Gabriel, Pierre
  • Martin, Hugo
Publication Date
Sep 17, 2019
Source
HAL-ENAC
Keywords
Language
English
License
Unknown
External links

Abstract

We prove, in the framework of measure solutions, that the equal mito-sis equation present persistent asymptotic oscillations. To do so we adopt a duality approach, which is also well suited for proving the well-posedness when the division rate is unbounded. The main difficulty for characterizing the asymptotic behavior is to define the projection onto the subspace of periodic (rescaled) solutions. We achieve this by using the generalized relative entropy structure of the dual problem.

Report this publication

Statistics

Seen <100 times