Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
35 (1994), S. 5765-5780
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The dynamical stability of self-similar wave collapses is investigated in the framework of the radially symmetric nonlinear Schrödinger equation defined at space dimensions exceeding a critical value. The so-called "strong'' collapse, for which the mass of a collapsing solution remains concentrated near its central self-similar core, is shown to be characterized by an unstable contraction rate as time reaches the collapse singularity. By contrast with this latter case, a so-called "weak'' collapse, whose mass dissipates into an asymptotic tail, is proven to contain a stable attractor from which a physical self-similar collapse may be realized.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530867
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