A new formulation for the linearized Navier-Stokes equation

  • Authors

    • Ouali Yousra Faculty of Science of Tunis, Tunis El Manar University - 2092, TUNISIA
    • A. Younes
    2014-09-05
    https://doi.org/10.14419/ijamr.v3i4.3006

  • Abstract

    This paper is devoted to study the Navier-Stokes equations by applying the curl and using a current function, weobtain a non-linear biharmonic problem where the pressure disappears and instead of the velocity, we are workingwith a scalar function. After a linearization, we obtain a sequence of linear problems. We study the existence anduniqueness of its solutions. Finally we show the convergence of the sequence of the linearized problems obtained tothe non-linear one.

    Keywords: Bi-Laplacian, Existence and uniqueness, Navier-Stokes equations.

  • References

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    2. Amara.M, Capatina-Papaghiuc.D, Chacon-Vera.E, Trijullo.D, "Vorticity velocity pressure formulation for Navier-Stokes equations", Comput. Vis. Sci, No.6, (2004), pp.47-52.
    3. Bernardi.C, Mady.Y, Rapetti.F, "Discretisations variationnelles de problmes aux limites elliptiques", Springer-Verlag Berlin Heidelberg, (2004).
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  • How to Cite

    Yousra, O., & Younes, A. (2014). A new formulation for the linearized Navier-Stokes equation. International Journal of Applied Mathematical Research, 3(4), 366-374. https://doi.org/10.14419/ijamr.v3i4.3006

    Received date: 2014-06-06

    Accepted date: 2014-07-12

    Published date: 2014-09-05