Initial-boundary value problem with a~free surface condition for the penalized equations of aqueous solutions of polymers
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 241-250

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The existence “in a small” of the solutions of the perturbed initialboundary value problems (1), (2) and (2), (3) is proved. The convergence for $\varepsilon\to0$ of the solutions $\{v^\varepsilon\}$ of these problems to the solution of the initial-boundary value problem (4), (3) for the equations of aqueous solutions of polymers (4) is investigated. Bibliography: 10 titles.
@article{ZNSL_1994_210_a18,
     author = {A. P. Oskolkov},
     title = {Initial-boundary value problem with a~free surface condition for the penalized equations of aqueous solutions of polymers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {241--250},
     publisher = {mathdoc},
     volume = {210},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a18/}
}
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A. P. Oskolkov. Initial-boundary value problem with a~free surface condition for the penalized equations of aqueous solutions of polymers. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 23, Tome 210 (1994), pp. 241-250. http://geodesic.mathdoc.fr/item/ZNSL_1994_210_a18/