论文标题
被视为Kuznetsov方程的近似值的非线性声学模型
Models of Nonlinear Acoustics Viewed as Approximations of the Kuznetsov Equation
论文作者
论文摘要
We relate together different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear Progressive wave Equation (NPE) and estimate the time during which the solutions of these models keep closed in the L 2 norm. KZK和NPE方程被认为是Kuznetsov方程的近似近似值。 Westervelt方程是作为Kuznetsov方程的非线性近似获得的。旨在比较发现近似域中精确和近似系统的解决方案，可获得良好的结果（对于半空间中的Kuznetsov方程，并获得了定期时间的初始和边界数据）。
We relate together different models of non linear acoustic in thermo-ellastic media as the Kuznetsov equation, the Westervelt equation, the Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation and the Nonlinear Progressive wave Equation (NPE) and estimate the time during which the solutions of these models keep closed in the L 2 norm. The KZK and NPE equations are considered as paraxial approximations of the Kuznetsov equation. The Westervelt equation is obtained as a nonlinear approximation of the Kuznetsov equation. Aiming to compare the solutions of the exact and approximated systems in found approximation domains the well-posedness results (for the Kuznetsov equation in a half-space with periodic in time initial and boundary data) are obtained.
