Estimate on the dimension of global attractor for nonlinear dissipative Kirchhoff equation
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Publication:973831
DOI10.1007/s10440-008-9405-1zbMath1198.35040OpenAlexW2086688233MaRDI QIDQ973831
Xiu-Jin Miao, Zai-Yun Zhang, Zhen-Hai Liu
Publication date: 26 May 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9405-1
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Abstract hyperbolic equations (35L90)
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Cites Work
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- Semigroups of linear operators and applications to partial differential equations
- Attractors for damped nonlinear hyperbolic equations
- Finite dimensional exponential attractors for semilinear wave equations with damping
- Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- Attractor and dimension for strongly damped nonlinear wave equation
- Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on \(\mathbb{R}^N\)
- On finite fractal dimension of the global attractor for the wave equation with nonlinear damping
- Estimates on the dimension of an attractor for a nonclassical hyperbolic equation
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- Solvability of linear systems of PDE’s with constant coefficients
- A note on the fractal dimension of attractors of dissipative dynamical systems
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