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Curvature based criteria for slow invariant manifold computation: from differential geometry to numerical software implementations for model reduction in hydrocarbon combustion
(Universität Ulm, 2017-05-04)
Mathematical models for chemical kinetics are multiple times scale dynamical systems based on ordinary differential equations and can be reduced in order to decrease the dimensionality of the state space and the complexity ...
Nichtlineare partielle Differentialgleichungen vom gemischten elliptisch-hyperbolischen Typ
(Universität Ulm, 2017-08-28)
This thesis studies the article "Local solutions to a class of Monge-Ampère equations of mixed type" by Qing Han (Duke Math. J., Vol. 136, No. 3, 2007). The article proves the existence of sufficiently smooth local solutions ...