Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions

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Назив:	Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions
Аутори:	Nedeljkov, Marko Neumann L. Oberguggenberger M. Sahoo M.
Датум издавања:	1-нов-2017
Часопис:	Nonlinear Analysis, Theory, Methods and Applications
Сажетак:	© 2017 Elsevier Ltd Radially symmetric shadow wave solutions to the system of multidimensional pressureless gas dynamics are introduced, which allow one to capture concentration of mass. The transformation to a one-dimensional system with source terms is performed and physically meaningful boundary conditions at the origin are determined. Entropy conditions are derived and applied to single out physical (nonnegative mass) and dissipative (entropic) solutions. A complete solution to the pseudo-Riemann problem with initial data exhibiting a single delta shock on a sphere is obtained.
URI:	https://open.uns.ac.rs/handle/123456789/2871
ISSN:	0362546X
DOI:	10.1016/j.na.2017.07.006
Налази се у колекцијама:	PMF Publikacije/Publications