Papers
Topics
Authors
Recent
Assistant
AI Research Assistant
Well-researched responses based on relevant abstracts and paper content.
Custom Instructions Pro
Preferences or requirements that you'd like Emergent Mind to consider when generating responses.
Gemini 2.5 Flash
Gemini 2.5 Flash 150 tok/s
Gemini 2.5 Pro 46 tok/s Pro
GPT-5 Medium 26 tok/s Pro
GPT-5 High 28 tok/s Pro
GPT-4o 80 tok/s Pro
Kimi K2 211 tok/s Pro
GPT OSS 120B 435 tok/s Pro
Claude Sonnet 4.5 35 tok/s Pro
2000 character limit reached

A cross-diffusion system with independent drifts and fast diffusion (2510.07937v1)

Published 9 Oct 2025 in math.AP

Abstract: We study a one-dimensional cross-diffusion system for two interacting populations on the torus, with a fast-diffusion law with exponent $0< \alpha\le 1$ and different external potentials. For arbitrary non-negative $L{1}$ initial data with bounded entropy and a mixing condition we prove the existence of global weak solutions. This extends the recent result of M\'esz\'aros, Parker from the linear diffusion ($\alpha=1$) to the fast-diffusion.

Summary

We haven't generated a summary for this paper yet.

Dice Question Streamline Icon: https://streamlinehq.com

Open Questions

We haven't generated a list of open questions mentioned in this paper yet.

Lightbulb Streamline Icon: https://streamlinehq.com

Continue Learning

We haven't generated follow-up questions for this paper yet.

List To Do Tasks Checklist Streamline Icon: https://streamlinehq.com

Collections

Sign up for free to add this paper to one or more collections.

X Twitter Logo Streamline Icon: https://streamlinehq.com

Tweets

This paper has been mentioned in 1 tweet and received 1 like.

Upgrade to Pro to view all of the tweets about this paper: