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Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method

In: Collected Papers in Honor of Yoshihiro Shibata

Author

Listed:
  • Takayuki Kobayashi

    (Osaka University, Division of Mathematical Science, Department of Systems Innovation, Graduate School of Engineering Science)

  • Miho Murata

    (Shizuoka University, Department of Mathematical and System Engineering,Faculty of Engineering)

  • Hirokazu Saito

    (The University of Electro-Communications, Graduate School of Informatics and Engineering)

Abstract

n this paper, we consider a resolvent problem arising in the study of a Korteweg-type model of isothermal compressible viscous fluids derived by Dunn and Serrin (1985), and we prove resolvent estimates in bounded and exterior domains.

Suggested Citation

  • Takayuki Kobayashi & Miho Murata & Hirokazu Saito, 2022. "Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method," Springer Books, in: Tohru Ozawa (ed.), Collected Papers in Honor of Yoshihiro Shibata, pages 147-164, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-19252-4_8
    DOI: 10.1007/978-3-031-19252-4_8
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