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Global Existence of Smooth Solutions for the One-Dimensional Full Euler System for a Dusty Gas

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Abstract

We study the existence of global-in-time classical solutions for the one-dimensional nonisentropic compressible Euler system for a dusty gas with large initial data. Using the characteristic decomposition method proposed by Li et al. (Commun Math Phys 267: 1–12, 2006), we derive a group of characteristic decompositions for the system. Using these characteristic decompositions, we find a sufficient condition on the initial data to ensure the existence of global-in-time classical solutions.

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Acknowledgements

This work is partially supported by the National Natural Science Foundation of China (12071278).

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  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Geng Lai & Yingchun Shi

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  1. Geng Lai
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  2. Yingchun Shi
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Correspondence to Geng Lai.

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Lai, G., Shi, Y. Global Existence of Smooth Solutions for the One-Dimensional Full Euler System for a Dusty Gas. Commun. Appl. Math. Comput. 5, 1235–1246 (2023). https://doi.org/10.1007/s42967-022-00197-y

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  • DOI: https://doi.org/10.1007/s42967-022-00197-y

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