Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics

DOI10.1134/S1064562419010253zbMath1461.76376OpenAlexW2945344846MaRDI QIDQ2424395

Yu. G. Rykov, Alexander I. Aptekarev

Publication date: 24 June 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419010253

zbMATH Keywords

variational formulationmomentum conservationvector Burgers equation

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (5)

On model two-dimensional pressureless gas flows: variational description and numerical algorithm based on adhesion dynamics ⋮ Variational principle for multidimensional conservation laws and pressureless media ⋮ On the interaction of shock waves in two-dimensional isobaric media ⋮ Non-conventional and conventional solutions for one-dimensional pressureless gas ⋮ Emergence of a hierarchy of singularities in zero-pressure media. Two-dimensional case

Cites Work

• Unnamed Item
• On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations
• Discontinuous gradient differential equations and trajectories in the calculus of variations
• Particle dynamics inside shocks in Hamilton–Jacobi equations
• On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations

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