Abstract
An averaged equation is derived that describes the irrotational flow of an ideal incompressible fluid due to the expansion and translational motion of bubbles at the sites of a periodic lattice. The calculation of the coefficients of the averaged equation reduces to the solution of a cell problem. An exact solution to the problem is constructed in the form of a series in periodic harmonic functions. An infinite system of equations is written down for the coefficients of the series, and the system is analyzed asymptotically at low volume concentrations c of the bubbles.
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