Exponential attractors for extensible beam equations
A Eden, AJ Milani - Nonlinearity, 1993 - iopscience.iop.org
The authors establish a global fast dynamics for a class of equations that include the beam
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for …
The goal of this paper is to utilize the theory of nonlinear dynamics approach to investigate
the possible sources of errors and slow convergence and nonconvergence of steady-state …
the possible sources of errors and slow convergence and nonconvergence of steady-state …
Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments
M Grinfeld, A Novick-Cohen - Proceedings of the Royal Society of …, 1995 - cambridge.org
—j = - Page 1 Proceedings of the Royal Society of Edinburgh, 125A, 351-370,1995 Counting
stationary solutions of the Cahn-Hilliard equation by transversality arguments M. Grinfeld …
stationary solutions of the Cahn-Hilliard equation by transversality arguments M. Grinfeld …
The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
M Grinfeld, A Novick-Cohen - Transactions of the American Mathematical …, 1999 - ams.org
In this paper we establish a Morse decomposition of the stationary solutions of the one-
dimensional viscous Cahn-Hilliard equation by explicit energy calculations. Strong non …
dimensional viscous Cahn-Hilliard equation by explicit energy calculations. Strong non …
Maximal attractor and inertial sets for a conserved phase field model
D Brochet, D Hilhorst, A Novick-Cohen - 1996 - projecteuclid.org
2 (s3− s) and the unknown functions u and'denote respectively the temperature and the
order parameter or phase field. The dimensionless temperature u is scaled so that u= 0 …
order parameter or phase field. The dimensionless temperature u is scaled so that u= 0 …
Finite-dimensional exponential attractor for a model for order-disorder and phase separation
D Brochet, D Hilhorst, A Novick-Cohen - Applied Mathematics Letters, 1994 - Elsevier
We consider a system of equations for simultaneous order-disorder and phase seperation
dynamics in space dimensions N= 1, 2 and 3 and show that the correct corresponding …
dynamics in space dimensions N= 1, 2 and 3 and show that the correct corresponding …
Long-time behaviour for a model of phase-field type
P Laurençot - Proceedings of the Royal Society of Edinburgh Section …, 1996 - cambridge.org
In this paper, we study a model of phase-field type for the kinetics of phase transitions which
was considered by Halperin, Hohenberg and Ma and which includes the phase-field …
was considered by Halperin, Hohenberg and Ma and which includes the phase-field …
Exponential attractor and its fractal dimension for a second order lattice dynamical system
X Fan, H Yang - Journal of mathematical analysis and applications, 2010 - Elsevier
We construct an exponential attractor for a second order lattice dynamical system with
nonlinear damping arising from spatial discretization of wave equations in Rk. And we …
nonlinear damping arising from spatial discretization of wave equations in Rk. And we …
弱阻尼KdV 方程的惯性分形集
戴正德, 朱智伟 - 应用数学和力学, 1995 - pubs.cstam.org.cn
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Inertial fractal sets for dissipative Zakharov system
Z Dai, B Guo - Acta Mathematicae Applicatae Sinica, 1997 - Springer
has proved that the dissipative Zakharov system has an ε 2-weak compact attractor. In this
paper, we further show that the dissipative Langmuir waves in plasmas admit an inertial …
paper, we further show that the dissipative Langmuir waves in plasmas admit an inertial …