Abstract
In this chapter we introduce some definitions and qualitative methods useful in the study of nonlinear stability with respect to the initial data of a basic fluid motion. The aim of the chapter is to recall the energy and Dirichlet methods used to study distinctive properties of nonlinear stability for incompressible fluids (parabolic equations) and for elastic bodies (hyperbolic equations), respectively, and to give an overview of the results obtained in the book.
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
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Padula, M. (2011). Topics in Stability. In: Asymptotic Stability of Steady Compressible Fluids. Lecture Notes in Mathematics(), vol 2024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21137-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-21137-9_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21136-2
Online ISBN: 978-3-642-21137-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)