Anomalous Retardation Near Unstable Steady States
                      in Systems With Conservation

                                   by
                            Vladimir Mitlin

                  JTB 320, 3:20pm, Monday June 2, 1997


                                Abstract

 The term `kinetically stable structures' (KSS) is associated to a
relatively new self-organization phenomenon in nonlinear systems [1].
KSS were observed in the 1-D [2, 3] and 2-D [4] models of spinodal
decomposition of binary polymer mixtures, in a problem of plasma physics
[5], in the nonlinear dynamics of phase transition in dense viscous
media [6], and in the thin film breakup dynamics [7].

 All these models have a set of non-trivial unstable periodical
steady-state solutions close to which the evolution slow down
tremendously. In numerical experiments, if one does not know about the
instability of such a KSS one can miss the retardation with the end of
the evolution.

1.      V.S. Mitlin, Nonlinear Dynamics of Reservoir Mixtures, CRC
        Press, Boca Raton, 1993.
2       V.S. Mitlin, L.I. Manevich, and I.Ya. Erukhimovich, Sov.
        Phys. JETP 61 (1985) 290.
3.      V.S. Mitlin and L.I. Manevich, J. Polym. Sci. B 28 (1990) 1.
4.      M.A. Kotnis and M. Muthukumar, Macromolecules 25 (1992) 1716.
5.      F.B. Bunkin, N.A. Kirichenko, and Yu. Yu. Morozov, JETP
        Lett. 41 (1985) 462.
6.      V.S. Mitlin and L.I. Manevich, Inter. J. Eng. Sci. 30
        (1992) 237.
7.      V.S. Mitlin and N. A. Petviashvili, Phys. Lett. A 192
        (1994)



Vladimir Mitlin
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University Research Park,
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(801) 584 2488

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