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

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dc.creatorBulatov, Vitaly V.
dc.creatorVladimirov, Yuriy V.
dc.creatorVakorin, Vasily A.
dc.date2004-10-27
dc.date.accessioned2026-07-07T04:31:34Z
dc.date.available2026-07-07T04:31:34Z
dc.descriptionA 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.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0410058
dc.identifierhttp://arxiv.org/abs/math-ph/0410058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57864
dc.subjectMathematical Physics
dc.subject76L05 (Primary), 35L67 (Secondary)
dc.titleWeak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves
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