Autor: |
Chen, Li, Luo, Zhen, Wang, Yucheng |
Rok vydání: |
2024 |
Předmět: |
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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: |
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