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- W2023172277 abstract "In a previous work, we established the existence of finite dimensional attractors for partly dissipative reaction-diffusion systems of two types: systems with a polynomial growth nonlinearity and systems admitting an invariant region. The aim of this article is to show that these problems possess inertial manifolds in space dimension n ⩽ 2. These inertial manifolds contain the universal attractor, attract exponentially all the solutions as time goes to infinity, and, due to the weak dissipation, are here infinite dimensional. Our results are applied to several classical systems borrowed from mathematical biology, physics, and chemistry." @default.
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- W2023172277 date "1989-11-01" @default.
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- W2023172277 title "Inertial manifolds associated to partly dissipative reaction-diffusion systems" @default.
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- W2023172277 doi "https://doi.org/10.1016/0022-247x(89)90043-7" @default.
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