Research PaperNo Access

School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, P. R. China

and

Jianwei Dong

https://orcid.org/0000-0003-1131-8244

School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, P. R. China

E-mail Address: dongjianweiccm@163.com

Corresponding author.

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https://doi.org/10.1142/S0217732324750026Cited by:0 (Source: Crossref)

Abstract

In this paper, we study the 2D Euler equations for Chaplygin gas, which is a model for dark energy of the universe in some of cosmology theories. By using an ansatz developed by Yuen, we present some rotational and self-similar analytical solutions. We obtain the global existence of the constructed solutions and investigate the qualitative properties of the gas density according to various parameters.

Keywords:

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