Erschienen in:

1997 | OriginalPaper | Buchkapitel

Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction—Diffusion Equations. Fluid Mechanics and Pattern Formation Equations

verfasst von : Roger Temam

Erschienen in: Infinite-Dimensional Dynamical Systems in Mechanics and Physics

Verlag: Springer New York

Enthalten in: Professional Book Archive

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Our aim in this chapter is to describe some nonlinear evolution equations of the first order in time, which arise in mechanics and physics. In each case, we present briefly the physical model and the governing equations; then we present the mathematical setting of the equations which leads to the introduction of the corresponding semigroup {S(t)}_t≥0. Once the semigroup is defined, we address the following questions:

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Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction—Diffusion Equations. Fluid Mechanics and Pattern Formation Equations

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