Local existence of classical solution to the chemotaxis-shallow water system with vacuum in $\mathbb{R}^2$

Autor:	Chen, Li, Luo, Zhen, Wang, Yucheng
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider the chemotaxis-shallow water system in $\mathbb{R}^2$. We establish the local existence of classical solution without assuming the initial height is small or has a small perturbation near a constant. The far field behavior of the height is a constant which could be either vacuum or non-vacuum. The initial data is allowed vacuum and the spatial measure of the set of vacuum can be arbitrarily large.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.01884 Zobrazit plný text záznamu View this record from Arxiv