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Electrical arc furnace (EAF), acting as a fast varying real power and reactive power sink, not only induces the power quality pollution back to utility, but also prevent the effective production of metal industry. In this paper, a methodology of designing an energy storage system (ESS) for EAFs is presented. Based on the field data-based study of a typical… (More)
We prove development of type I singularities for a suitable concept of weak evolution in the context of the quintic focussing NLW on R 3`1 , for data near and " above " the ground state static solution.
We introduce a suitable concept of weak evolution in the context of the radial quintic focussing semilinear wave equation on R3`1, that is adapted to continuation past type II singularities. We show that the weak extension leads to type I singularity formation for initial data corresponding to: (i) the Kenig-Merle blow-up solutions with initial energy below… (More)