scholarly journals The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type

2020 ◽  
Vol 52 (6) ◽  
pp. 6313-6337
Author(s):  
Miho Murata ◽  
Yoshihiro Shibata
Keyword(s):  
Compressible Fluid ◽  
Fluid Model ◽  
Well Posedness

scholarly journals On a model for internal waves in rotating fluids

2018 ◽  
Vol 3 (2) ◽  
pp. 627-648 ◽  
Author(s):  
A. Durán
Keyword(s):  
Internal Waves ◽  
Fluid Model ◽  
Well Posedness ◽  
Solitary Wave Solutions ◽  
Rotating Fluid ◽  
Rotating Fluids ◽  
Mathematical Properties ◽  
Gravity Effects ◽  
Two Fluid Model ◽  
Two Fluid

AbstractIn this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the dispersion balance. The physical regime of validation is discussed and mathematical properties of the new system, concerning well-posedness, conservation laws and existence of solitary-wave solutions, are analyzed.

scholarly journals Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary

2018 ◽  
Vol 23 (3) ◽  
pp. 1267-1295 ◽  
Author(s):  
George Avalos ◽  
◽  
Pelin G. Geredeli ◽  
Justin T. Webster ◽  
◽  
...  
Keyword(s):  
Compressible Fluid ◽  
Well Posedness ◽  
Elastic Boundary

A novel approach for measuring the intrinsic nanoscale thickness of polymer brushes by means of atomic force microscopy: application of a compressible fluid model

Nanoscale ◽  
2013 ◽  
Vol 5 (23) ◽  
pp. 11679 ◽  
Author(s):  
José Luis Cuellar ◽  
Irantzu Llarena ◽  
Jagoba J. Iturri ◽  
Edwin Donath ◽  
Sergio Enrique Moya
Keyword(s):  
Atomic Force Microscopy ◽  
Compressible Fluid ◽  
Polymer Brushes ◽  
Fluid Model ◽  
Force Microscopy ◽  
Atomic Force ◽  
Novel Approach

scholarly journals Examination of Well-Posedness of Multi-Fluid Model.

1994 ◽  
Vol 60 (580) ◽  
pp. 4010-4015
Author(s):  
Akio Tomiyama ◽  
Nobutake Kanami ◽  
Isao Kataoka ◽  
Hitoshi Higaki
Keyword(s):  
Fluid Model ◽  
Well Posedness

Interfacial Pressure Coefficient for Ellipsoids and Its Effect on the Two-Fluid Model Eigenvalues

2016 ◽  
Vol 138 (8) ◽  
Author(s):  
Avinash Vaidheeswaran ◽  
Martin Lopez de Bertodano
Keyword(s):  
Fluid Model ◽  
Pressure Coefficient ◽  
Well Posedness ◽  
Virtual Mass ◽  
Two Phase Flows ◽  
Two Phase ◽  
Pressure Coefficients ◽  
Interfacial Pressure ◽  
Two Fluid Model ◽  
Two Fluid

Analytical expressions for interfacial pressure coefficients are obtained based on the geometry of the bubbles occurring in two-phase flows. It is known that the shape of the bubbles affects the virtual mass and interfacial pressure coefficients, which in turn determines the cutoff void fraction for the well-posedness of two-fluid model (TFM). The coefficient used in the interfacial pressure difference correlation is derived assuming potential flow around a perfect sphere. In reality, the bubbles seen in two-phase flows get deformed, and hence, it is required to estimate the coefficients for nonspherical geometries. Oblate and prolate ellipsoids are considered, and their respective coefficients are determined. It is seen that the well-posedness limit of the TFM is determined by the combination of virtual mass and interfacial pressure coefficient used. The effect of flow separation on the coefficient values is also analyzed.

scholarly journals Global well-posedness for 2-D viscoelastic fluid model

2016 ◽  
Vol 10 ◽  
pp. 2661-2670
Author(s):  
Mikhail A. Artemov ◽  
George G. Berdzenishvili
Keyword(s):  
Viscoelastic Fluid ◽  
Fluid Model ◽  
Well Posedness
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