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Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains

In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Author

Listed:
  • Reinhard Farwig

    (Darmstadt University of Technology, Department of Mathematics
    International Research Training Group Darmstadt-Tokyo (IRTG 1529))

  • Hideo Kozono

    (Waseda University, Department of Mathematics
    Japan Society of Promotion of Science, Japanese-German Graduate Externship Program)

  • Hermann Sohr

    (University of Paderborn, Faculty of Electrical Engineering, Informatics and Mathematics, Department of Mathematics)

Abstract

To solve the (Navier-)Stokes equations in general smooth domains Ω ⊂ ℝ n $$\Omega \subset \mathbb{R}^{n}$$ , the spaces L ̃ q ( Ω ) $$\tilde{L}^{q}(\Omega )$$ defined as L q ∩ L2 when 2 ≤ q

Suggested Citation

  • Reinhard Farwig & Hideo Kozono & Hermann Sohr, 2018. "Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 8, pages 419-459, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13344-7_8
    DOI: 10.1007/978-3-319-13344-7_8
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