Whole space case for solution formula of Korteweg type fluid motion in ℝ3

Dede Bagus, Suhada and Sri, Maryani and Renny, Renny and Triyani, Triyani and Bambang Hendriya, Guswanto and Kartiwi, Mira (2025) Whole space case for solution formula of Korteweg type fluid motion in ℝ3. In: The 7th International Conference on Multidiscipline Approaches for Sustainable Rural Development (ICMA SURE 2024), 26-27 Septermber 2024, Purwokerto, Indonesia.

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Abstract

In this paper we consider the solution formula of linearized diffusive capillary model of Korteweg type without surface tension in three-dimensional Euclidean space ℝ3 using Fourier transform. Firstly, we construct the matrix of differential operators from the model problem. Then, we apply Fourier transform to the matrix. In the third step, we consider the resolvent problem of model problem. Finally, we find the solution formula of velocity and density by using inverse Fourier transform. For the further research we can consider not only estimating the solution operator families of the Korteweg theory of capillarity but also estimating the optimal decay for solution to the non-linear problem.

Item Type:	Proceeding Paper (Invited Papers)
Uncontrolled Keywords:	Korteweg, Euclidean space, formula.
Subjects:	T Technology > T Technology (General) > T55.4 Industrial engineering.Management engineering. T Technology > T Technology (General) > T55.4 Industrial engineering.Management engineering. > T57 Applied mathematics. Quantitative methods. Operation research. System analysis T Technology > T Technology (General) > T55.4 Industrial engineering.Management engineering. > T58.5 Information technology
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Information System Kulliyyah of Information and Communication Technology > Department of Information System Kulliyyah of Information and Communication Technology Kulliyyah of Information and Communication Technology
Depositing User:	Prof.Ts.Dr Mira Kartiwi
Date Deposited:	24 Feb 2025 11:31
Last Modified:	24 Feb 2025 11:31
URI:	http://irep.iium.edu.my/id/eprint/119775

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