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XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications

HYP 2016: Theory, Numerics and Applications of Hyperbolic Problems II pp 631–642Cite as

Compactness on Multidimensional Steady Euler Equations

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 237))

Abstract

Recently, the new compactness frameworks on the multidimensional steady Euler equations are established. At the beginning, we will start from a motivative example on the steady Euler equation. Then, the formal compactness framework for approximate solutions to subsonic-sonic flows governed by the steady compressible Euler equations in arbitrary dimension is introduced. Later, we will present the compactness framework of incompressible limit to the steady compressible Euler flow. At the end, as the direct applications of the compactness framework are mentioned.

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Acknowledgements

The research of author was supported in part by the NSFC Grant No. 11601401, and the Fundamental Research Funds for the Central Universities (WUT: 2017 IVA 072 & 2017 IVB 066).

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan, 430070, Hubei, China

    Tian-Yi Wang

  2. Gran Sasso Science Institute, viale Francesco Crispi, 7, 67100, L’Aquila, Italy

    Tian-Yi Wang

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  1. Tian-Yi Wang
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Correspondence to Tian-Yi Wang .

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Editors and Affiliations

  1. Department of Mathematics, Würzburg University, Würzburg, Germany

    Christian Klingenberg

  2. Department of Mathematics, RWTH Aachen University, Aachen, Germany

    Michael Westdickenberg

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Wang, TY. (2018). Compactness on Multidimensional Steady Euler Equations. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-91548-7_47

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