Simply Connected 3-Manifolds with a Dense Set of Ends of Specified Genus
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DOI: 10.1007/s00009-017-0907-9
Abstract: We show that for every sequence $$(n_i)$$(ni), where each $$n_i$$ni is either an integer greater than 1 or is $$\infty $$∞, there exists a simply connected open 3-manifold M with a countable dense set of… read more here.
Keywords: dense set; connected manifolds; genus; set ends ... See more keywords
Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics
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DOI: 10.1016/j.aim.2021.108057
Abstract: Abstract. In dimension n “ 2 and 3, we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions to the isentropic… read more here.
Keywords: dense set; system; set initial; global ill ... See more keywords