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Keldysh Institute preprints, 2018, 017, 14 pp. (Mi ipmp2379)  

Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background

Yu. A. Kriksin, P. A. Kuchugov, M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin


Abstract: Precise solutions for the quasilinear transport equation and a system of shallow water equations that contain discontinuities propagating along an inhomogeneous background are were constructed in this paper. These solutions can be used as test tasks for verification of newly created software packages and numerical methods.

Keywords: quasi-linear transport equation, shallow water equations, exact solution, discontinuous Galerkin method.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00361-a
16-01-00333_а


DOI: https://doi.org/10.20948/prepr-2018-17

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Citation: Yu. A. Kriksin, P. A. Kuchugov, M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin, “Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background”, Keldysh Institute preprints, 2018, 017, 14 pp.

Citation in format AMSBIB
\Bibitem{KriKucLad18}
\by Yu.~A.~Kriksin, P.~A.~Kuchugov, M.~E.~Ladonkina, O.~A.~Nekliudova, V.~F.~Tishkin
\paper Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background
\jour Keldysh Institute preprints
\yr 2018
\papernumber 017
\totalpages 14
\mathnet{http://mi.mathnet.ru/ipmp2379}
\crossref{https://doi.org/10.20948/prepr-2018-17}
\elib{https://elibrary.ru/item.asp?id=32463812}


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  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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