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- W1964468222 abstract "In this paper we prove the existence of vortices, namely stand-ing waves with non null angular momentum, for the nonlinear Klein-Gordon equation in dimension N ≥ 3. We show with variational methods that the existence of these kind of solutions, that we have called hylomorphic vortices , depends on a suitable energy-charge ratio. Our variational approach turns out to be useful for numerical investigations as well. In particular, some results in dimension N = 2 are reported, namely exemplificative vortex profiles by varying charge and angular momentum, together with relevant trends for vor-tex frequency and energy-charge ratio. The stability problem for hylomorphic vortices is also addressed. In the absence of conclusive analytical results, vor-tex evolution is numerically investigated: the obtained results suggest that,contrarily to solitons with null angular momentum, vortex are unstable." @default.
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- W1964468222 date "2013-01-01" @default.
- W1964468222 modified "2023-10-01" @default.
- W1964468222 title "On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation" @default.
- W1964468222 doi "https://doi.org/10.4310/dpde.2013.v10.n1.a1" @default.
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