Local solvability of the capillary problem |
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Authors: | N Yu Selivanova M V Shamolin |
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Institution: | 1. All-Russian Institute for Scientific and Technical Information, Russian Academy of Sciences, Usievicha 20, Moscow, Russia 2. M. V. Lomonosov Moscow State University, Moscow, Russia
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Abstract: | This paper studies conditions for local (in time) solvability of a qualitatively new singularllimit problem, the free (unknown) boundary problem appearing recently. In fact, there are not so many different free boundary problems, which corresponds to not so large a variety of principally different phase transitions of the first and second kinds. Therefore, the appearance of principally new problems elicits interest. This paper studies structural features of a certain problem on the basis of a certain method developed previously, precisely, the localization method 1, 3, 9]. |
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