SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP

Jihandika Prayugo (Universitas Islam Negeri Syarif Hidayatullah Jakarta)
Suma Inna (Universitas Islam Negeri Syarif Hidayatullah Jakarta)
Mahmudi Mahmudi (Universitas Islam Negeri Syarif Hidayatullah Jakarta)
Nia Damiati (Universitas Islam Negeri Syarif Hidayatullah Jakarta)

Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Vol. 5 No. 1 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik

This article discusses the solution of the linear Navier-Stokes-Korteweg model in  considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the capillary effect. To overcome the impact of the capillary effect, Korteweg developed the Navier-Stokes model by incorporating the element of capillary into the Navier-Stokes equations. The results of this article show that the Korteweg-type Navier-Stokes model has a solution for the coefficient case  with . The emergence of this coefficient case is related to the condition of the roots of the characteristic equation of the model described in this article.