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

DOI:

https://doi.org/10.14419/ijamr.v3i4.3006

Published:

2014-09-05

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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