| Abstract: | Solvability of the problem of slow drying of a plane capillary in the classical setting (i. e., with the adherence condition
on a rigid wall) is established. The proof is based on a detailed study of the asymptotics of the solution near a point of
contact of the free boundary with a moving wall, including estimates of the coefficients in well known asymptotic formulas.
It is shown that the only value of the contact angle admitting a solution of the problem with finite energy dissipation equals
π. Bibliography: 18 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 213, 1994, pp. 179–205.
Translated by E. V. Frolova. |
