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Field model for complex ionic fluids: analytical properties and numerical investigation
In this paper, we consider the field model for complex ionic fluids with...
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A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels
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On the Fusion of Compton Scatter and Attenuation Data for Limited-view X-ray Tomographic Applications
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Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model
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Efficient numerical methods for computing the stationary states of phase field crystal models
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Variational wavefunctions for Sachdev-Ye-Kitaev models
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A Finite-Volume Method for Fluctuating Dynamical Density Functional Theory
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Field model for complex ionic fluids
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernals. Furthermore, we deduce the estimate of the maximal density function to quantify the finite size effect. On the numerical side, we adopt a finite volume scheme to the field model, which satisfies the following properties: positivity-perserving, mass conservation and energy dissipation. Besides, series of numerical experiments are provided to demonstrate the properties of the steady state and the finite size effect.
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