Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves

Bulatov, Vitaly V.; Vladimirov, Yuriy V.; Vakorin, Vasily A.

Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves

Authors

Bulatov, Vitaly V.

Vladimirov, Yuriy V.

Vakorin, Vasily A.

Description

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.
21 pages