On the Spectral Stability of Internal Solitary Waves in Fluids with Density Stratification ; Zur spektralen Stabilität interner Solitärwellen in Fluiden mit Dichteschichtung
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Media type:
Text;
Electronic Thesis;
Doctoral Thesis;
E-Book
Title:
On the Spectral Stability of Internal Solitary Waves in Fluids with Density Stratification ; Zur spektralen Stabilität interner Solitärwellen in Fluiden mit Dichteschichtung
Contributor:
Klaiber, Andreas
[Author]
imprint:
KOPS - The Institutional Repository of the University of Konstanz, 2013
Footnote:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Description:
Frequently encountered in nature, internal solitary waves in stratified fluids are well-observed and well-studied objects from the experimental, the theoretical and the numerical perspective. Contrasting with a rich theory for their existence and the development of methods for computing these waves, their stability analysis has received less attention at a rigorous mathematical level. In this thesis, we propose a method for investigating the spectral stability of internal solitary waves which consists of five steps: (i) reformulation of the eigenvalue problem as an infinite-dimensional spatial-dynamical system, (ii) procedure to obtain finite-dimensional truncations, (iii) definition of an Evans function for the finite-dimensional problems, (iv) investigation of the Evans functions for zeros with positive real part, (v) identification or preclusion of eigenvalues with positive real part of the infinite-dimensional system. While steps (i)-(iv) are carried out within this thesis, step (v) is left to future work. ; published ; published