Institute of Mathematics for Industry

Seminar



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Linear instability of moving phase boundaries at heat transfer problems in solids: Exact results


Hold Date 2014-05-29 15:30~2014-05-29 17:00

Place Seminar Room 3, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Michael Tribelsky (Lomonosov Moscow State University)

Abstract:
Two problems of stability of a moving phase boundary at heat transfer problems:
(i) at a plane wave of laser-sustained evaporation of solids and
(ii) at self-similar crystal growth from an undercooled liquid are considered.
Both the problems may exhibit instabilities breaking the initial high (plane,
or spherical) symmetry. In both the cases the exact expressions for the
spectrum of unstable modes are obtained.