Global attractors for a nonclassical diffusion equation
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Publication:2644355
DOI10.1007/s10114-005-0909-6zbMath1128.35027OpenAlexW1995395937MaRDI QIDQ2644355
Chunyou Sun, Suyun Wang, Cheng-Kui Zhong
Publication date: 31 August 2007
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0909-6
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the problem of diffusion in solids
- Infinite-dimensional dynamical systems in mechanics and physics.
- Attractors for a nonclassical diffusion equation
- The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
- On a theory of heat conduction involving two temperature
- Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
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