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首页> 外文会议>International Symposium on Nonlinear Acoustics >Nonlinear Propagation and Decay of Intense Regular and Random Waves in Relaxing Media
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Nonlinear Propagation and Decay of Intense Regular and Random Waves in Relaxing Media

机译：放松媒体中强烈常规和随机波的非线性传播与衰减

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An integro-differential equation is written down that contains terms responsible for nonlinear absorption, visco-heat-conducting dissipation, and relaxation processes in a medium. A general integral expression is obtained for calculating energy losses of the wave with arbitrary characteristics--intensity, profile (frequency spectrum), and kernel describing the internal dynamics of the medium. Profiles of stationary solutions are constructed both for an exponential relaxation kernel and for other types of kernels. Energy losses at the front of week shock waves are calculated. General integral formulas are obtained for energy losses of intense noise, which are determined by the form of the kernel, the structure of the noise correlation function, and the mean square of the derivative of realization of a random process.
机译：综合微分方程被写入，其中包含负责非线性吸收，粘液热传导耗散和介质中的弛豫过程的术语。获得通用积分表达式，用于计算具有任意特征的波的能量损耗 - 强度，轮廓（频谱）和描述介质内部动态的内核。静止解决方案的简档构建了指数弛豫核和其他类型的核。计算了一周冲击波前面的能量损失。将一般的整体公式用于激烈噪声的能量损失，其由内核的形式，噪声相关函数的结构和实现随机过程的衍生物的均线确定。

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