Nonlinear Instability of Evolution Equations
Detta är en Master-uppsats från Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematik LTH
Sammanfattning: In this thesis we explore the connection between spectral stability and nonlinear stability of evolution equations. Using semigroup theory a result on nonlinear instability from spectral instability is proven. This result is then applied to two examples: Travelling heteroclinic solutions of the Kuramoto-Sivashinsky equation and constant solutions of the Lugiato-Lefever equation.
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