Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D

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Gal, Ciprian G., and Maurizio Grasselli. “Asymptotic Behavior of a Cahn–Hilliard–Navier–Stokes System in 2D”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 27, no. 1, 2010, pp. 401-36, https://doi.org/10.1016/j.anihpc.2009.11.013.
Gal, C. G., & Grasselli, M. (2010). Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 27(1), 401-436. https://doi.org/10.1016/j.anihpc.2009.11.013
Gal, Ciprian G., and Maurizio Grasselli. “Asymptotic Behavior of a Cahn–Hilliard–Navier–Stokes System in 2D”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 27, no. 1 (2010): 401-36. https://doi.org/10.1016/j.anihpc.2009.11.013.
Gal CG, Grasselli M. Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2010;27(1):401-36.
Refrences
Title Journal Journal Categories Citations Publication Date
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids Annales de l'Institut Henri Poincaré C, Analyse non linéaire
  • Science: Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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26 2009
On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities Archive for Rational Mechanics and Analysis
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162 2009
On a diffuse interface model for a two-phase flow of compressible viscous fluids Indiana University Mathematics Journal
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72 2008
Finite element approximation of a Cahn–Hilliard–Navier–Stokes system 2008
Asymptotic behavior of a nonisothermal viscous Cahn–Hilliard equation with inertial term Journal of Differential Equations
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34 2007
Citations
Title Journal Journal Categories Citations Publication Date
Global Spherically Symmetric Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
The extended Discontinuous Galerkin method for two-phase flows with evaporation Journal of Computational Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Physics
2024
On the stochastic Cahn-Hilliard-Navier-Stokes systems with surfactant Discrete and Continuous Dynamical Systems
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
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A stochastic Allen–Cahn–Navier–Stokes model with inertial effects driven by multiplicative noise of jump type

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  • Science: Mathematics
2023
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions

Journal of Mathematical Fluid Mechanics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
1 2023
Citations Analysis
The category Science: Mathematics 141 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Trajectory attractors for binary fluid mixtures in 3D and was published in 2010. The most recent citation comes from a 2024 study titled On the stochastic Cahn-Hilliard-Navier-Stokes systems with surfactant. This article reached its peak citation in 2019, with 20 citations. It has been cited in 57 different journals, 5% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 13 citations. The chart below illustrates the annual citation trends for this article.
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