Master's thesis presentation: "Nonlinear instability of evolution equations", Emil Engström,
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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.
Examiner: Eskil Hansen
Supervisor: Erik Wahlén