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KIAM Preprint  94, Moscow, 2016
Authors: Rykov Y. G.
2D pressureless gas dynamics and variational principle
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
Publication language: russian,  pages: 14
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Rykov Yuri Germanovich,  orcid.org/0000-0003-1695-6202KIAM RAS