Local attractors for weakly damped forced KdV equation in thin 2D domains
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Publication:1841491
DOI10.1007/BF02458990zbMath0968.35104MaRDI QIDQ1841491
Lixin Tian, Yurong Liu, Zeng-Rong Liu
Publication date: 18 September 2001
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)
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Cites Work
- Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
- Inertial forms of Navier-Stokes equations on the sphere
- A note on the strong convergence towards attractors of damped forced KdV equations
- Approximation of exponential order of the attractor of a turbulent flow
- Some closure results for inertial manifolds
- The research of longtime dynamic behavior in weakly damped forced KdV equation
- Exponential attractors and their relevance to fluid dynamics systems
- The research of blow-up in 2D weakly damped forced KdV equation on thin domain
- Global attractors for the three-dimensional Navier-Stokes equations
- A new method of studying the dynamical behaviour of the sine-Gordon equation
- Pulse Dynamics in an Unstable Medium
- Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains
- Local exponential attractors for models of phase change for compressible gas dynamics
- Inertial manifolds for travelling‐wave solutions of reaction‐diffusion systems