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Classical Solution for the Compressible Flow with Free Surface in Three-Dimensional Exterior Domain

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Fluids Under Control

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Notes

  1. 1.

    The notation on the functional space is given at the end of this section.

  2. 2.

    It is possible to prove the exponential stability in the underlying space \(L_p(0,T;H^{2,1}_q(\Omega _L))\) for any 1 < p, q < ∞.

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Acknowledgements

Y.S. is partially supported by Top Global University Project and JSPS Grant-in-aid for Scientific Research (A) 17H0109; X.Z. is partially supported by NSF of China under Grant 12101457 and supported by the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. Department of Mathematics, Waseda University, Tokyo, Japan

    Yoshihiro Shibata

  2. School of Mathematical Sciences, Tongji University, Shanghai, China

    Xin Zhang

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  1. Yoshihiro Shibata
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  2. Xin Zhang
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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Czech Technical University in Prague, Prague, Czech Republic

    Tomáš Bodnár

  2. Swanson School of Engineering, University of Pittsburgh, Pittsburgh, PA, USA

    Giovanni P. Galdi

  3. Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

    Šárka Nečasová

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Shibata, Y., Zhang, X. (2023). Classical Solution for the Compressible Flow with Free Surface in Three-Dimensional Exterior Domain. In: Bodnár, T., Galdi, G.P., Nečasová, Š. (eds) Fluids Under Control. Advances in Mathematical Fluid Mechanics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-27625-5_9

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