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Existence of stationary solutions of the Navier-Stokes equations in the presence of a wall

Guo, Zhengguang ; Wittwer, Peter ; Zhou, Yong

In: Zeitschrift für angewandte Mathematik und Physik, 2013, vol. 64, no. 5, p. 1493-1542

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    Title
    • Existence of stationary solutions of the Navier-Stokes equations in the presence of a wall
    Author
    • Guo, Zhengguang. College of Mathematics and Information Science, Wenzhou University, 325035, Wenzhou, Zhejiang, China
    • Wittwer, Peter. Département de Physique Théorique, Université de Genève, Geneva, Switzerland
    • Zhou, Yong. Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, Zhejiang, China
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Zeitschrift für angewandte Mathematik und Physik, 2013, vol. 64, no. 5, p. 1493-1542. Springer Basel
    Other Version
    OAI-PMH Identifier
    • oai:doc.rero.ch:318197
    Summary
    We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible Navier-Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at infinity. Here, we prove existence of stationary solutions for this problem for the simplified situation where the body is replaced by a source term of compact support