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math.MG2024
On generalized metrics of Vandermonde type
Wolf-Jürgen Beyn
In a series of papers in the 1960's, S. Gähler defined and investigated so-called m-metric spaces and their topological properties. An m-metric assigns to any tuple of m+1 elements…
math.AP2024
Algebraic rates of stability for front-type modulated waves in Ginzburg Landau equations
Wolf-Jürgen Beyn, Christian Döding
We consider the stability of front-type modulated waves in the complex Ginzburg-Landau equation (CGL). The waves occur in the bistable regime (e.g. of the quintic CGL) and connect…