An optimization model of the Stefan problem

DOI10.1016/0021-8928(93)90122-3zbMath0790.76103OpenAlexW1973505295MaRDI QIDQ1316698

S. P. Okhezin, V. A. Kalistratov

Publication date: 10 April 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(93)90122-3

zbMATH Keywords

convergencenecessary conditionsoptimal-control approximation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Cites Work

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• An approximation in the problem of controlling the shape of the region for a parabolic system
• The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution
• Equivalent Norms for Sobolev Spaces

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