Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0410058,
title = {Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves},
author = {Vitaly V. Bulatov and Yuriy V. Vladimirov and Vasily A. Vakorin},
journal= {arXiv preprint arXiv:math-ph/0410058},
year = {2007}
}
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21 pages