نتایج جستجو برای: cahn

تعداد نتایج: 2313  

Journal: :Proceedings. Mathematical, physical, and engineering sciences 2014
C Miehe F E Hildebrand L Böger

This work shows that the Cahn-Hilliard theory of diffusive phase separation is related to an intrinsic mixed variational principle that determines the rate of concentration and the chemical potential. The principle characterizes a canonically compact model structure, where the two balances involved for the species content and microforce appear as the Euler equations of a variational statement. ...

2010
JIE SHEN XIAOFENG YANG

Stability analyses and error estimates are carried out for a number of commonly used numerical schemes for the Allen-Cahn and Cahn-Hilliard equations. It is shown that all the schemes we considered are either unconditionally energy stable, or conditionally energy stable with reasonable stability conditions in the semi-discretized versions. Error estimates for selected schemes with a spectral-Ga...

2007
Peter HOWARD

We consider the spectrum of the linear operator that arises upon linearization of the Cahn–Hilliard equation in dimensions d ≥ 2 about a planar transition front (a solution that depends on only one distinguished space variable and that has different values at ±∞). In previous work the author has established conditions on this spectrum under which such planar transition fronts are asymptotically...

2011
Michael Hinze Christian Kahle

We present a nonlinear model predictive framework for closedloop control of two-phase flows governed by the Cahn-Hilliard NavierStokes system. We adapt the concept for instantaneous control from [6, 12, 16] to construct distributed closed-loop control strategies for twophase flows. It is well known that distributed instantaneous control is able to stabilize the Burger’s equation [16] and also t...

Journal: :SIAM Journal of Applied Mathematics 2012
Maciek D. Korzec Piotr Rybka

A convective Cahn-Hilliard type equation of sixth order that describes the faceting of a growing surface is considered with periodic boundary conditions. By using a Galerkin approach the existence of weak solutions to this sixth order partial differential equation is established in L2(0, T ; Ḣ3 per). Furthermore stronger regularity results have been derived and these are used to prove uniquenes...

Journal: :Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 1999
J Zhu L Q Chen J Shen V Tikare

An efficient semi-implicit Fourier spectral method is implemented to solve the Cahn-Hilliard equation with a variable mobility. The method is orders of magnitude more efficient than the conventional forward Euler finite-difference method, thus allowing us to simulate large systems for longer times. We studied the coarsening kinetics of interconnected two-phase mixtures using a Cahn-Hilliard equ...

2013
Giovanni Leoni

In this note we prove compactness for the Cahn-Hilliard functional without assuming coercivity of the multi-well potential.

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید