二维非线性流体力学方程的弱奇异性及Shock Waves的传播
Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves
摘要：
本文考虑一个二维非线性流体力学方程组。结果表明，在一般情况下，该系统的弱间断型奇异解表现为S（x，y，t）的平方根，其中S（x，y，t）>0是光滑函数.得到了解存在的必要条件和相应的微分方程组。
英文摘要：
A system of two-dimensional nonlinear equations of hydrodynamics is considered. It is shown that for the this system in the general case a solution with weak discontinuity-type singularity behaves as a square root of S(x,y,t), where S(x,y,t)>0 is a smooth function. The necessary conditions and series of corresponding differential equations are obtained for the existence of a solution.
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。
