A new formulation for the linearized Navier-Stokes equation
DOI:
https://doi.org/10.14419/ijamr.v3i4.3006Abstract
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.
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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: June 6, 2014
Accepted date: July 12, 2014
Published date: September 5, 2014