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A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall

In: Advances in Mathematical Fluid Mechanics

Author

Listed:
  • Jiřί Neustupa

    (Mathematical Institute of the Czech Academy of Sciences)

  • Patrick Penel

    (Université du Sud Toulon–Var, Département de Mathématique & Laboratoire “Systémes Navals Complexes„)

Abstract

There exists a series of other works dealing with flows in time varying domains that concern the motion of one or more bodies in a fluid. The fluid and the bodies are studied as an interconnected system so that the position of the bodies in the fluid is not apriori known. The weak solvability of such a problem, provided the bodies do not touch each other or they do not strike the boundary, was proved by B. Desjardins and M. J. Esteban [4, 5], K. H. Hoffmann and V. N. Starovoitov [13] (the 2D case), C. Conca et al. [2] and M. D. Gunzburger et al. [12].

Suggested Citation

  • Jiřί Neustupa & Patrick Penel, 2010. "A Weak Solvability of the Navier-Stokes Equation with Navier’s Boundary Condition Around a Ball Striking theWall," Springer Books, in: Rolf Rannacher & Adélia Sequeira (ed.), Advances in Mathematical Fluid Mechanics, pages 385-407, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-04068-9_24
    DOI: 10.1007/978-3-642-04068-9_24
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