On the uniqueness of weak solutions for the 3D phase field Navier-Stokes vesicle-fluid interaction model

Differential Equations & Applications ◽

10.7153/dea-06-06 ◽

2014 ◽

pp. 81-97

Author(s):

Jihong Zhao ◽

Qiao Liu ◽

Shuanghu Zhang

Keyword(s):

Phase Field ◽

Weak Solutions ◽

Interaction Model ◽

Navier Stokes ◽

Vesicle Fluid ◽

Fluid Interaction

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Logarithmically improved blow-up criteria for a phase field Navier–Stokes vesicle–fluid interaction model

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.04.020 ◽

2013 ◽

Vol 405 (2) ◽

pp. 422-437

Author(s):

Jihong Zhao ◽

Qiao Liu

Keyword(s):

Phase Field ◽

Blow Up ◽

Interaction Model ◽

Navier Stokes ◽

Vesicle Fluid ◽

Fluid Interaction

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Stochastic phase field α-Navier-Stokes vesicle-fluid interaction model

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124805 ◽

2021 ◽

Vol 496 (1) ◽

pp. 124805

Author(s):

Ludovic Goudenège ◽

Luigi Manca

Keyword(s):

Phase Field ◽

Interaction Model ◽

Navier Stokes ◽

Vesicle Fluid ◽

Fluid Interaction

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Strong Solutions for a Phase Field Navier–Stokes Vesicle–Fluid Interaction Model

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-011-0059-9 ◽

2011 ◽

Vol 14 (1) ◽

pp. 177-195 ◽

Author(s):

Yuning Liu ◽

Takéo Takahashi ◽

Marius Tucsnak

Keyword(s):

Phase Field ◽

Interaction Model ◽

Strong Solutions ◽

Navier Stokes ◽

Vesicle Fluid ◽

Fluid Interaction

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Analysis of a phase field Navier-Stokes vesicle-fluid interaction model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2007.8.539 ◽

2007 ◽

Vol 8 (3) ◽

pp. 539-556 ◽

Author(s):

Qiang Du ◽

◽

Manlin Li ◽

Chun Liu ◽

Keyword(s):

Phase Field ◽

Interaction Model ◽

Navier Stokes ◽

Vesicle Fluid ◽

Fluid Interaction

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A phase field $\alpha$-Navier-Stokes vesicle-fluid interaction model: Existence and uniqueness of solutions

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2015.20.397 ◽

2015 ◽

Vol 20 (2) ◽

pp. 397-422 ◽

Author(s):

Ariane Piovezan Entringer ◽

◽

José Luiz Boldrini ◽

Keyword(s):

Phase Field ◽

Existence And Uniqueness ◽

Interaction Model ◽

Navier Stokes ◽

Uniqueness Of Solutions ◽

Vesicle Fluid ◽

Fluid Interaction ◽

Model Existence

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Long-Time Behavior of a Cahn-Hilliard-Navier-Stokes Vesicle-Fluid Interaction Model

SEMA SIMAI Springer Series - Trends in Differential Equations and Applications ◽

10.1007/978-3-319-32013-7_8 ◽

2016 ◽

pp. 125-145 ◽

Author(s):

Blanca Climent-Ezquerra ◽

Francisco Guillén-González

Keyword(s):

Interaction Model ◽

Navier Stokes ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time ◽

Vesicle Fluid ◽

Fluid Interaction

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Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113600 ◽

2021 ◽

Vol 375 ◽

pp. 113600

Author(s):

Xiaofeng Yang

Keyword(s):

Stokes Equation ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Navier Stokes ◽

Numerical Approximations ◽

Navier Stokes Equation ◽

Energy Stable ◽

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Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5127797 ◽

2019 ◽

Vol 60 (12) ◽

pp. 121502

Author(s):

Boqiang Lü ◽

Rong Zhang ◽

Xin Zhong

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Degenerate Viscosity

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On global behavior of weak solutions to the Navier-Stokes equations of compressible fluid for γ = 5 / 3 $\gamma=5/3$

Boundary Value Problems ◽

10.1186/s13661-015-0443-0 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Xiaoying Wang ◽

Weiwei Wang

Keyword(s):

Weak Solutions ◽

Compressible Fluid ◽

Stokes Equations ◽

Navier Stokes ◽

Global Behavior ◽

Navier Stokes Equations

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Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0310-1 ◽

2010 ◽

Vol 196 (3) ◽

pp. 1079-1080 ◽

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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