Operator Solusi Model Fluida Termampatkan Tipe Korteweg Dengan Kondisi Batas Slip di Half-Space Kasus Koefisien ((μ + ν)/(2 κ))^2 -(1/κ) > 0, κ =μ ν , μ≠ν
Abstract
Keywords
Full Text:
PDFReferences
H. Freistühler and M. Kotschote, “Phase-Field and Korteweg-Type Models for the Time-Dependent Flow of Compressible Two-Phase Fluids,” Arch. Ration. Mech. Anal., vol. 224, no. 1, 2017, doi: 10.1007/s00205-016-1065-0.
M. Kotschote, “Strong well-posedness for a korteweg-type model for the dynamics of a compressible non-isothermal fluid,” J. Math. Fluid Mech., vol. 12, no. 4, 2010, doi: 10.1007/s00021-009-0298-1.
M. Kotschote, “Existence and time-asymptotics of global strong solutions to dynamic korteweg models,” Indiana Univ. Math. J., vol. 63, no. 1, 2014, doi: 10.1512/iumj.2014.63.5187.
B. Haspot, “Existence of global weak solution for compressible fluid models of Korteweg type,” J. Math. Fluid Mech., vol. 13, no. 2, 2011, doi: 10.1007/s00021-009-0013-2.
D. Bian, L. Yao, and C. Zhu, “Vanishing capillarity limit of the compressible fluid models of korteweg type to the navier-stokes equations,” SIAM J. Math. Anal., vol. 46, no. 2, 2014, doi: 10.1137/130942231.
M. Kotschote, “Strong solutions for a compressible fluid model of Korteweg type,” Ann. l’I.H.P. Anal. non linéaire, vol. 25, no. 4, pp. 679–696, 2008, doi: 10.1016/j.anihpc.2007.03.005.
H. Saito, “Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem,” Funkc. Ekvacioj, vol. 62, no. 3, pp. 337–386, 2019, doi: 10.1619/fesi.62.337.
H. Saito, “Existence of $mathcal{R}$-bounded solution operator families for a compressible fluid model of Korteweg type on the half-space,” Math. Methods Appl. Sci., vol. 44, no. 2, pp. 1744–1787, Jan. 2021, doi: https://doi.org/10.1002/mma.6875.
S. Inna, S. Maryani, and H. Saito, “Half-space model problem for a compressible fluid model of Korteweg type with slip boundary condition,” J. Phys. Conf. Ser., vol. 1494, no. 1, p. 012014, 2020, doi: 10.1088/1742-6596/1494/1/012014.
S. Inna and H. Saito, “Local Solvability for a Compressible Fluid Model of Korteweg Type on General Domains,” Mathematics, vol. 11, no. 10, May 2023, doi: 10.3390/math11102368.
DOI: http://dx.doi.org/10.12962/limits.v20i2.12954
Refbacks
- There are currently no refbacks.
Jumlah Kunjungan:
Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/limits.