THE LOCAL WELL-POSEDNESS OF A CHEMOTAXIS-SHALLOW WATER SYSTEM WITH VACUUM

• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 231-240
• 页数: 10页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.01.013

摘要

In this paper we prove the local well-posedness of strong solutions to a chemotaxis-shallow water system with initial vacuum in a bounded domain Ω ? R2 without the standard compatibility condition for the initial data.This improves some results obtained in[J.Dif-ferential Equations 261(2016),6758-6789].