Тип публикации: статья из журнала
Год издания: 2008
Идентификатор DOI: 10.1134/S0012266108120094
Аннотация: We study an adjoint initial-boundary value problem for linear parabolic equations; which arises when modeling the unidirectional motion of two viscous fluids with a common interface under the action of a pressure gradient. Under some conditions on the pressure gradient, we obtain a priori estimates and show that the solution entersПоказать полностьюa stationary mode. For semi-bounded layers, we find the solution in closed form and indicate the case of a self-similar solution. We determine the volume flow rates in the layers.
Журнал: DIFFERENTIAL EQUATIONS
Выпуск журнала: Vol. 44, Is. 12
Номера страниц: 1730-1736
ISSN журнала: 00122661
Место издания: NEW YORK
Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER