Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Temam, R. (1988). Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction—Diffusion Equations. Fluid Mechanics and Pattern Formation Equations. In: Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Applied Mathematical Sciences, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0313-8_4
Download citation
DOI: https://doi.org/10.1007/978-1-4684-0313-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-0315-2
Online ISBN: 978-1-4684-0313-8
eBook Packages: Springer Book Archive