نتایج جستجو برای: cahn hilliardallen cahn equation

تعداد نتایج: 230748  

Journal: :Journal of Mathematical Analysis and Applications 2008

Journal: :Advances in Difference Equations 2015

Journal: :Numerische Mathematik 2017
Amanda E. Diegel Cheng Wang Xiaoming Wang Steven M. Wise

In this paper, we present a novel second order in time mixed finite element scheme for the Cahn-Hilliard-Navier-Stokes equations with matched densities. The scheme combines a standard second order Crank-Nicholson method for the Navier-Stokes equations and a modification to the Crank-Nicholson method for the Cahn-Hilliard equation. In particular, a second order Adams-Bashforth extrapolation and ...

Journal: :Journal of Differential Equations 2013

Journal: :Nonlinear Differential Equations and Applications NoDEA 2010

2012
S. Dong

We present an efficient scheme within the phase field framework for imposing dynamic contact angle boundary conditions for wall-bounded flows of two immiscible incompressible fluids with large density ratios. First, we develop an algorithm for imposing the dynamic contact angle boundary conditions to the Cahn–Hilliard equation. Our algorithm consists of two components: (i) we ignore the boundar...

2014
Jie Shen Tao Tang Jiang Yang

This paper is concerned with the generalized Allen-Cahn equation with a nonlinear mobility that can degenerate, which also includes an advection term as found in phase-field models. A class of maximum principle preserving schemes will be studied for the generalized Allen-Cahn equation, with either the commonly used polynomial free energy or the logarithmic free energy, and with a nonlinear dege...

2017
KELEI WANG

We prove that finite Morse index solutions to the Allen-Cahn equation in R2 have finitely many ends and linear energy growth. The main tool is a curvature decay estimate on level sets of these finite Morse index solutions, which in turn is reduced to a problem on the uniform second order regularity of clustering interfaces for the singularly perturbed Allen-Cahn equation in Rn. Using an indirec...

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