Analysis of the linear navier stokes korteweg model with neumann boundary conditions in three dimensional half-space

DOI:

https://doi.org/10.30606/absis.v7i1.2589

Authors

  • Dwi Windari Nur Khasanah UIN Syarif Hidayatullah Jakarta, Indonesia
  • Suma Inna Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia
  • Madona Yunita Wijaya Universitas Islam Negeri Syarif Hidayatullah Jakarta, Indonesia
  • Sri Indriati Hasanah Universitas Madura, East Java, Indonesia

Keywords:

Neumann
Transformasi Fourier Parsial
extensions
navier stokes korteweg
resolvent equation
partial fourier transformation
persamaan resolvent

Abstract

This study discusses the solution of the Navier-Stokes Korteweg model, which describes two-phase fluid flow with capillary effects, with Neumann boundary conditions in the half-space. The main objective is to detail the resolution process of the resolvent equation system in the half-space related to the Navier-Stokes Korteweg model with Neumann boundary conditions. The resolution is carried out in several steps. First, the resolvent equation system is reduced using even and odd extensions. Then, a partial Fourier transform is applied, resulting in a simpler ordinary differential equation. The findings of this research indicate the existence of a solution operator for the resolvent equation of the Navier-Stokes Korteweg model with Neumann boundary conditions in the half-space. This solution applies for two cases involving the coefficients, depending on certain conditions related to the fluid properties.

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Published

2024-08-30

How to Cite

Khasanah, D. W. N., Inna, S., Wijaya, M. Y., & Hasanah, S. I. (2024). Analysis of the linear navier stokes korteweg model with neumann boundary conditions in three dimensional half-space. Jurnal Absis: Jurnal Pendidikan Matematika Dan Matematika, 7(1), 166–185. https://doi.org/10.30606/absis.v7i1.2589

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