101. Local solvability of the capillary problem
- Author
-
N. Yu. Selivanova and Maxim V. Shamolin
- Subjects
Statistics and Probability ,Phase transition ,Basis (linear algebra) ,Capillary action ,Applied Mathematics ,General Mathematics ,Mathematical analysis ,Boundary problem ,Free boundary problem ,Boundary (topology) ,Variety (universal algebra) ,Mathematics - 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].
- Published
- 2013