Optimal control of patterns in some reaction-diffusion-systems

Christopher Ryll
This thesis investigates the optimal control of reaction-diffusion-systems that exhibit various interesting patterns such as traveling wave fronts or spiral waves. In particular, we consider a model that consists of a semilinear parabolic equation which is linearly coupled with finitely many linear parabolic equations and covers a number of well-known systems such as the one component Schlögl-equation, the two component FitzHugh-Nagumo equations, or a three component system that admits localized spot solutions. The well-posedness of...
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