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Nonlinear evolution of the axisymmetric nuclear surface

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Abstract

We consider a uniformly charged incompressible nuclear liquid bounded by a closed surface. It is shown that the evolution of an axisymmetric surface Г(r, t) ≡ σ − ∑(z, t) = 0, r = (σ, φ, z) can be approximately reduced to the motion of a curve in the (σ, z) plane. A nonlinear integro-diffrerential equation for the contour Σ (z, t) is derived. The contour Σ (z, t) and the local curvature are found to be a direct correspondence, which makes it possible to use methods of differential geometry to analyze the evolution of an axisymmetric nuclear surface.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia

    V. G. Kartavenko

  2. Institut für Theoretische Physik der J. W. Goethe Universität Frankfurt am Main, Frankfurt am Main, Germany

    V. G. Kartavenko & W. Greiner

  3. Institute of Physics, St. Petersburg State University, Petrodvorets, Russia

    V. G. Kartavenko, K. A. Gridnev & W. Greiner

Authors
  1. V. G. Kartavenko
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  2. K. A. Gridnev
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  3. W. Greiner
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Additional information

From Yadernaya Fizika, Vol. 65, No. 4, 2002, pp. 669–672.

Original English Text Copyright © 2002 by Kartavenko, Gridnev, Greiner.

This article was submitted by the authors in English.

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Kartavenko, V.G., Gridnev, K.A. & Greiner, W. Nonlinear evolution of the axisymmetric nuclear surface. Phys. Atom. Nuclei 65, 637–640 (2002). https://doi.org/10.1134/1.1471265

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  • DOI: https://doi.org/10.1134/1.1471265

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