30,051 research outputs found
Towards a sufficient criterion for collapse in 3D Euler equations
A sufficient integral criterion for a blow-up solution of the Hopf equations
(the Euler equations with zero pressure) is found. This criterion shows that a
certain positive integral quantity blows up in a finite time under specific
initial conditions. Blow-up of this quantity means that solution of the Hopf
equation in 3D can not be continued in the Sobolev space for
infinite time
High energy neutrino absorption by W production in a strong magnetic field
An influence of a strong external magnetic field on the neutrino self-energy
operator is investigated. The width of the neutrino decay into the electron and
W boson, and the mean free path of an ultra-high energy neutrino in a strong
magnetic field are calculated. A kind of energy cutoff for neutrinos
propagating in a strong field is defined.Comment: 13 pages, LaTeX, 1 EPS figure, submitted to Physics Letters
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