Solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection

被引：0
作者：
Duan, Ning [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi, Peoples R China
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期
关键词：
Fourth-order nonlinear parabolic equation; global existence; uniqueness; global attractor; CAHN-HILLIARD EQUATION; GLOBAL ATTRACTOR;
D O I：
10.1080/00036811.2015.1088521
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the global existence and uniqueness of solutions for a fourth-order nonlinear parabolic equation describing Marangoni convection. Moreover, the existence of global attractor in H-3 and H-k (k >= 0) space is also considered.
引用
收藏
页码：2081 / 2098
页数：18
相关论文
共 20 条
  • [1] Adams R.A., 1975, Sobolev Spaces
  • [2] [Anonymous], 2012, Infinite-dimensional dynamical systems in mechanics and physics, DOI 10.1007/978-1-4684-0313-8
  • [3] [Anonymous], 2010, Asymptotic Behavior of Dissipative Systems
  • [4] GLOBAL ATTRACTOR FOR THE CAHN-HILLIARD EQUATION IN H2 AND H3
    DLOTKO, T
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 113 (02) : 381 - 393
  • [5] ELLIOTT CM, 1986, ARCH RATION MECH AN, V96, P339
  • [6] Getling A. V., 1991, Soviet Physics - Uspekhi, V34, P737, DOI 10.1070/PU1991v034n09ABEH002470
  • [7] PATTERN-FORMATION IN LARGE-SCALE MARANGONI CONVECTION WITH DEFORMABLE INTERFACE
    GOLOVIN, AA
    NEPOMNYASHCHY, AA
    PISMEN, LM
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1995, 81 (1-2) : 117 - 147
  • [8] Guo BL, 2002, ACTA MATH SIN, V18, P579
  • [9] PATTERN SELECTION IN LONG-WAVELENGTH CONVECTION
    KNOBLOCH, E
    [J]. PHYSICA D, 1990, 41 (03): : 450 - 479
  • [10] Lions J.-L., 1972, NONHOMOGENEOUS BOUND, VII, DOI DOI 10.1007/978-3-642-65217-2
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