Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
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Publication:1861115
DOI10.1016/S0294-1449(02)00115-4zbMath1036.35038OpenAlexW2059015209MaRDI QIDQ1861115
Serguei Zelik, Messoud A. Efendiev
Publication date: 2002
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_6_961_0
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
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- Unnamed Item
- Infinite-dimensional dynamical systems in mechanics and physics
- AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
- Homogenization of semilinear parabolic equations in domains with spherical traps
- Regular attractor for a non-linear elliptic system in a cylindrical domain
- Homogenization of attractors of non-linear hyperbolic equations with asymptotically degenerate coefficients
- Lyapunov functionals and stability for FitzHugh-Nagumo systems
- Elements of applied bifurcation theory
