Partly dissipative reaction diffusion systems: global attractors and determining modes

Keywords

Dissipative system, Reaction–diffusion system, Attractor, Diffusion, Statistical physics

References

• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2Ciprian Foiaş, G. A. Prodi — 1967
• Inertial manifolds associated to partly dissipative reaction-diffusion systemsMartine Marion — 1989
• Determination of the solutions of the Navier-Stokes equations by a set of nodal valuesCiprian Foiaş, Roger Témam — 1984
• Determining nodes for the Kuramoto-Sivashinsky equationCiprian Foiaş, Igor Kukavica — 1995
• Existence of Inertial Manifolds for Partly Dissipative Reaction Diffusion Systems in Higher Space DimensionsZhoude Shao — 1998
• Determining nodes for partly dissipative reaction diffusion systemsYoumin Lu, Zhoude Shao — 2003
• Finite-dimensional attractors associated with partly dissipative reaction-diffusion systemsMartine Marion — 1989
• Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systemsBernardo Cockburn, D. L. Jones, Edriss S. Titi — 1997
• Regularity, determining modes and Galerkin methodsJack K. Hale, Geneviève Raugel — 2003
• Regularity and dimension spectrum of the equivariant spectral triple for the odd dimensional quantum spheresArupkumar Pal, S. Sundar — 2008
• Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal ValuesCiprian Foiaş, Roger Témam — 1984

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