Vol. 53, No. 4, pp. 471-501 (1996)
Soliton Type Asymptotic Solutions of the Conserved Phase Field System
G.A. Omel'yanov, V.G. Danilov and E.V. RadkevichInternational Centre for Theoretical Physics,
I.C.T.P., PO BOX 586, 34100 Trieste - ITALY
Moscow State Institute of Electronics and Mathematics,
B. Vuzovsky, 3/12, 109028 Moscow - RUSSIA Moscow State Institute of Electronics and Mathematics,
B. Vuzovsky, 3/12, 109028 Moscow - RUSSIA Department of Mathematics and Mechanics, Moscow State University,
Vorobiovi Gori, 119899 Moscow - RUSSIA
Abstract: We consider the conserved phase field system with a small parameter in the $n$-dimensional case ($n\leq3$). The soliton type solution describes the first stage of separation in an alloy, when a set of ``superheated liquid'' appears inside the ``solid'' part. The corresponding Hugoniot type condition is obtained and the asymptotic solution is justified.
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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.