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Keldysh Institute preprints, 2016, 094, 14 pp. (Mi ipmp2168)  

This article is cited in 1 scientific paper (total in 1 paper)

2D pressureless gas dynamics and variational principle

Yu. G. Rykov


Abstract: The paper considers the application of variational representation principle to the description of singularities formation for the generalized solutions of 2D gas dynamics without pressure. The basic difference from 1D situation is clarified. This difference reads as follows: in 2D case the argument of variational functional is a domain in 2D Euclidian space. The corresponding generalization of singularities emergency conditions is obtained.

Keywords: pressureless gas dynamics, variational representation, generalized solutions, density delta-function on the manifolds, evolution of singularities.

Funding Agency Grant Number
Russian Science Foundation 14-21-00025


DOI: https://doi.org/10.20948/prepr-2016-94

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Citation: Yu. G. Rykov, “2D pressureless gas dynamics and variational principle”, Keldysh Institute preprints, 2016, 094, 14 pp.

Citation in format AMSBIB
\Bibitem{Ryk16}
\by Yu.~G.~Rykov
\paper 2D pressureless gas dynamics and variational principle
\jour Keldysh Institute preprints
\yr 2016
\papernumber 094
\totalpages 14
\mathnet{http://mi.mathnet.ru/ipmp2168}
\crossref{https://doi.org/10.20948/prepr-2016-94}


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  • http://mi.mathnet.ru/eng/ipmp/y2016/p94

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. G. Rykov, “Mnogomernyi variatsionnyi printsip i gazovaya dinamika bez davleniya”, Preprinty IPM im. M. V. Keldysha, 2018, 080, 12 pp.  mathnet
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