On dusty gas model governed by the Kuramoto-Sivashinsky equation

被引：0
|
作者：
Doronin, Gleb G. [1 ]
Larkin, Nikolai A. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2004年 / 23卷 / 01期
关键词：
dusty gas; nonlinear problems; global solvability; stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Initial and initial-boundary value problems for the Kuramoto-Sivashinsky model of "gas-solid particles" media are considered. Existence, uniqueness and exponential decay of global strong solutions are proved for small initial data.
引用
收藏
页码：67 / 80
页数：14
相关论文
共 50 条
  • [41] Travelling wave solutions to the Kuramoto-Sivashinsky equation
    Nickel, J.
    CHAOS SOLITONS & FRACTALS, 2007, 33 (04) : 1376 - 1382
  • [42] From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model
    Politi, Paolo
    ben-Avraham, Daniel
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (02) : 156 - 161
  • [43] On a nonlocal stochastic Kuramoto-Sivashinsky equation with jumps
    Bo, Lijun
    Shi, Kehua
    Wang, Yongjin
    STOCHASTICS AND DYNAMICS, 2007, 7 (04) : 439 - 457
  • [44] Invariant measures for a stochastic Kuramoto-Sivashinsky equation
    Ferrario, Benedetta
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2008, 26 (02) : 379 - 407
  • [45] Nonlinear Forecasting of the Generalized Kuramoto-Sivashinsky Equation
    Gotoda, Hiroshi
    Pradas, Marc
    Kalliadasis, Serafim
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (05):
  • [46] Hydrodynamics of the Kuramoto-Sivashinsky Equation in Two Dimensions
    Phys Rev Lett, 25 (5262-5265):
  • [47] Dynamical bifurcation of the damped Kuramoto-Sivashinsky equation
    Choi, Yuncherl
    Han, Jongmin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 421 (01) : 383 - 398
  • [48] Hydrodynamics of the Kuramoto-Sivashinsky equation in two dimensions
    Boghosian, BM
    Chow, CC
    Hwa, T
    PHYSICAL REVIEW LETTERS, 1999, 83 (25) : 5262 - 5265
  • [49] Output Feedback Control of the Kuramoto-Sivashinsky Equation
    al Jamal, Rasha
    Morris, Kirsten
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 567 - 571
  • [50] Inertial manifolds for a nonlocal Kuramoto-Sivashinsky equation
    Duan, JQ
    Ervin, VJ
    Gao, HJ
    Guo, BL
    PROCEEDINGS OF THE CONFERENCE ON NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, : 105 - 112
12345