LONG-TIME DYNAMICS OF A COUPLED CAHN-HILLIARD-BOUSSINESQ SYSTEM

被引:0
作者
Zhao, Kun [1 ]
机构
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
关键词
Cahn-Hilliard-Boussinesq system; asymptotic behavior; HELE-SHAW CELL; PHASE-TRANSITIONS; MODELING PINCHOFF; ORDER-PARAMETER; 2-PHASE FLUID; FREE-ENERGY; EQUATION; FLOW; RECONNECTION; MIXTURE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study large-time asymptotic behavior of classical solutions to an initial-boundary value problem (IBVP) for a coupled Cahn-Hilliard-Boussinesq system on a bounded domain. Sufficient conditions are established under which classical solutions converge exponentially to constant states as time goes to infinity due to diffusion and boundary effects.
引用
收藏
页码:735 / 749
页数:15
相关论文
共 25 条
[11]   On the Cahn-Hilliard equation with degenerate mobility [J].
Elliott, CM ;
Garcke, H .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (02) :404-423
[12]   Fully discrete finite element approximations of the Navier-Stokes-Cahn-Hilliard diffuse interface model for two-phase fluid flows [J].
Feng, Xiaobing .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 44 (03) :1049-1072
[13]  
Gunton J.D., 1983, PHASE TRANSITION CRI, V8
[14]   Two-phase binary fluids and immiscible fluids described by an order parameter [J].
Gurtin, ME ;
Polignone, D ;
Vinals, J .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1996, 6 (06) :815-831
[15]   Efficient numerical solution of Cahn-Hilliard-Navier-Stokes fluids in 2D [J].
Kay, David ;
Welford, Richard .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (06) :2241-2257
[16]   Conservative multigrid methods for Cahn-Hilliard fluids [J].
Kim, J ;
Kang, KK ;
Lowengrub, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 193 (02) :511-543
[17]   Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration [J].
Lee, HG ;
Lowengrub, JS ;
Goodman, J .
PHYSICS OF FLUIDS, 2002, 14 (02) :492-513
[18]   Modeling pinchoff and reconnection in a Hele-Shaw cell. II. Analysis and simulation in the nonlinear regime [J].
Lee, HG ;
Lowengrub, JS ;
Goodman, J .
PHYSICS OF FLUIDS, 2002, 14 (02) :514-545
[19]   A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method [J].
Liu, C ;
Shen, J .
PHYSICA D-NONLINEAR PHENOMENA, 2003, 179 (3-4) :211-228
[20]   Quasi-incompressible Cahn-Hilliard fluids and topological transitions [J].
Lowengrub, J ;
Truskinovsky, L .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1978) :2617-2654