The conditions for the coalescence of two pulsating spherical bubbles in a liquid in a weak low-frequency acoustic pressure field, as well as the conditions for absence of such a fusion, have been studied. Since the frequency of the pressure field is much lower than natural frequencies, the bubbles pulsate with identical relative amplitudes and phases. At large distances, bubbles approach according to the Bjerknes law. However, viscous forces near a contact can compensate the attraction force and bubbles do not coalesce. It has been shown that bubbles coalesce when the ratio of radii is smaller than 3; otherwise, periodic oscillations are established at a small gap between the surfaces of bubbles and coalescence does not occur. These theoretical results have been confirmed by existing experiments.

研究了在弱的低频声压场中液体中两个脉动球形气泡聚结的条件，以及不存在这种融合的条件。由于压力场的频率远低于自然频率，因此气泡以相同的相对振幅和相位脉动。在远距离处，气泡会根据Bjerknes法则接近。但是，接触点附近的粘性力可以补偿吸引力，并且气泡不会聚结。结果表明，当半径比小于3时，气泡会聚结。否则，在气泡表面之间的小间隙处会形成周期性振荡，并且不会发生聚结。这些理论结果已被现有实验证实。