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All Journal Jurnal Absis : Jurnal Pendidikan Matematika dan Matematika
Khasanah, Dwi Windari Nur
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Mathematics

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Analysis of the linear navier stokes korteweg model with neumann boundary conditions in three dimensional half-space Khasanah, Dwi Windari Nur; Inna, Suma; Wijaya, Madona Yunita; Hasanah, Sri Indriati
Jurnal Absis: Jurnal Pendidikan Matematika dan Matematika Vol. 7 No. 1 (2024): Jurnal Absis (In Press)
Publisher : Program Studi Pendidikan Matematika Universitas Pasir Pengaraian

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30606/absis.v7i1.2589

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.
Co-Authors Hasanah, Sri Indriati Inna, Suma Wijaya, Madona Yunita