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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57864A 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 pagesMathematical Physics76L05 (Primary), 35L67 (Secondary)Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Wavestext