Work

High-friction limit for bipolar Euler–Riesz systems

Year: 2025

Type: article

Abstract: We consider a bipolar Euler–Riesz system and rigorously justify the high-friction limit of weak solutions towards a bipolar aggregation-diffusion system with Riesz interactions. The analysis is carried out via the relative entropy method in the regime where smooth solutions of the limiting equations exist. This extends previous results on the high-friction limit of bipolar Euler–Poisson systems to a more general class of interactions, and extends the one-species Euler–Riesz case to the bipolar setting.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2025.130188

Authors: Nuno J. Alves, Jan Haskovec

Institutions: University of Vienna, King Abdullah University of Science and Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Austrian Science Fund