2001
DOI: 10.1016/s0167-2789(01)00200-7
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Zakharov’s transformation in the problem of galaxy mass distribution function

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Cited by 12 publications
(12 citation statements)
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“…We have found that V. M. Kontorovich has recently applied the Zakharov transformation to aggregation problems [22] for a class of kernels arising from the study of galactic mergers in astrophysics.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…We have found that V. M. Kontorovich has recently applied the Zakharov transformation to aggregation problems [22] for a class of kernels arising from the study of galactic mergers in astrophysics.…”
Section: Discussionmentioning
confidence: 99%
“…If we continue to add mass to the system at a constant rate J 0 then we know that the final steady state is given by the Kolmogorov spectrum Eq. (22). When the total mass contained in this solution is finite then mass conservation must be violated at some time since the total mass supplied to the system grows linearly in time.…”
Section: Finite and Infinite Capacity Cases-gelling And Nongellingmentioning
confidence: 99%
“…This can occur in practice. Examples include coagulation of ice in planetary rings [4], gravitational clustering [10], and droplet sedimentation in static fluids [11].…”
mentioning
confidence: 99%
“…The stationary state of this equation is best studied using the method of Zakharov transformations as detailed in [10,26] …”
Section: Renormalised Smoluchowski Equationmentioning
confidence: 99%
“…arguments. Strictly speaking, the Zakharov transformation technology of [10,26] only works for homogeneous kernels which leaves us with the question of what to do with the logarithm in eq. (87).…”
Section: Renormalised Smoluchowski Equationmentioning
confidence: 99%