Relaxation to Fractional Porous Medium Equation from Euler–Riesz System

Young Pil Choi, In Jee Jeong

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We perform asymptotic analysis for the Euler–Riesz system posed in either Td or Rd in the high-force regime and establish a quantified relaxation limit result from the Euler–Riesz system to the fractional porous medium equation. We provide a unified approach for asymptotic analysis regardless of the presence of pressure in the case of repulsive Riesz interactions, based on the modulated energy estimates, the Wasserstein distance of order 2, and the bounded Lipschitz distance. For the attractive Riesz interaction case, we consider the periodic domain and estimate a lower bound on the modulated internal energy to handle the modulated interaction energy.

Original languageEnglish
Article number95
JournalJournal of Nonlinear Science
Volume31
Issue number6
DOIs
Publication statusPublished - 2021 Dec

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • General Engineering
  • Applied Mathematics

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