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

  • Roger Temam
Part of the Applied Mathematical Sciences book series (AMS, volume 68)


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:


Global Attractor Young Inequality Green Formula Gronwall Lemma Maximal Attractor 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Roger Temam
    • 1
    • 2
  1. 1.Laboratoire d’Analyse NumériqueUniversité Paris SudOrsayFrance
  2. 2.The Institute for Scientific Computing and Applied MathematicsIndiana UniversityBloomingtonUSA

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