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Topics in Stability

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2024)

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.

Keywords

  • Initial Data
  • Rest State
  • Nonlinear Stability
  • Energy Method
  • Steady Solution

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Correspondence to Mariarosaria Padula .

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© 2011 Springer-Verlag Berlin Heidelberg

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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

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