空泡和充气泡瑞利方程的解析解
Analytical solutions of the Rayleigh equation for empty and gas--filled bubble
摘要：
气泡动力学的瑞利方程被广泛应用。然而，这个方程的解析解以前没有得到。在这里，我们发现封闭形式的瑞利方程的一般解决方案都为一个空的和气体填充的球形气泡。我们提出了一种方法，使我们能够构建精确的解决方案的瑞利方程。我们表明，我们的解决方案是有用的测试数值算法。
英文摘要：
The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this equation have not been obtained previously. Here we find closed--form general solutions of the Rayleigh equation both for an empty and gas--filled spherical bubble. We present an approach allowing us to construct exact solutions of the Rayleigh equation. We show that our solutions are useful for testing numerical algorithms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
