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The shielding effect extends the lifetimes of two-dimensional sessile droplets
We consider the diffusion-limited evaporation of thin two-dimensional sessile droplets either singly or in a pair. A conformal-map** technique is...
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Strong Solutions of an Incompressible Phase-field Model with Variable Density
We study the initial-boundary value problem of an incompressible Navier-Stokes-Cahn-Hilliard system with variable density. We prove the existence and...
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Introducing pre-impact air-cushioning effects into the Wagner model of impact theory
In this analysis, we consider the effects of non-quiescent initial conditions driven by pre-impact air–water interactions on the classical Wagner...
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Lattice Boltzmann study of the interaction between a single solid particle and a thin liquid film
The isothermal single-component multi-phase lattice Boltzmann method (LBM) combined with the particle motion model is used to simulate the detailed...
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Numerical Study of Low Rank Approximation Methods for Mechanics Data and Its Analysis
This paper proposes a comparison of the numerical aspect and efficiency of several low rank approximation techniques for multidimensional data,...
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On the C 1-Property of the Percolation Function of Random Interlacements and a Related Variational Problem
We consider random interlacements on \({\mathbb Z}^d\) ,...
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Solvability of a boundary value problem for steady Stokes equations in a sectorial domain
We investigate a boundary value problem for steady Stokes equations in a sectorial domain. The problem appears in the analysis of a free boundary...
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On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers
We study the ternary Ohta–Kawasaki free energy that has been used to model triblock copolymer systems. Its one-dimensional global minimizers are...
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Develo** theory of probability density function for stochastic modeling of turbulent gas-particle flows
Turbulent gas-particle flows are studied by a kinetic description using a probability density function (PDF). Unlike other investigators deriving the...
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An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics
In this paper, we extend the boundary integral scheme for the threshold dynamics method to treat the case where the material interface is nonsmooth...
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Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach
We develop a second-order accurate, energy stable, and linear numerical method for a ternary Cahn–Hilliard (CH) model. The proposed scheme is an...
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Interaction of an Incompressible Fluid with an Elastic Membrane
This chapter defines a first class of level set methods for the interaction of a membrane or an elastic curve, with or without shear elasticity, with...
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Mathematical Physics
Sinai was never really far away from Mathematical Physics. Already his first papers on Kolmogorov–Sinai entropy and on the stability of Kolmogorov’s...
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Numerical algorithms for water waves with background flow over obstacles and topography
We present two accurate and efficient algorithms for solving the incompressible, irrotational Euler equations with a free surface in two dimensions...
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Dynamics of excitable cells: spike-adding phenomena in action
We study the dynamics of action potentials of some electrically excitable cells: neurons and cardiac muscle cells. Bursting, following a fast–slow...
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Application of the SPH Method to Predict Primary Breakup in Complex Geometries
Understanding the process of primary breakup of liquids of air-assisted atomization systems is of major importance for the optimization of spray...