Solutions with substance decay in pressureless gas dynamics systems

DOI10.1134/S0001434620090187zbMath1451.35137OpenAlexW3097964709MaRDI QIDQ2210400

Yanyan Li

Publication date: 6 November 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620090187

zbMATH Keywords

conservation lawsstrong singularitiespressureless gas dynamicsstability of discontinuities

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) PDEs with measure (35R06)

Related Items (5)

Численное моделирование динамических процесcов в среде мелкодисперсных твердых частиц ⋮ On model two-dimensional pressureless gas flows: variational description and numerical algorithm based on adhesion dynamics ⋮ Non-conventional and conventional solutions for one-dimensional pressureless gas ⋮ Variational formulation of the problem of finding generalized solutions for quasilinear hyperbolic systems of conservation laws ⋮ Emergence of a hierarchy of singularities in zero-pressure media. Two-dimensional case

Cites Work

• Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
• The Lax-Oleinik variational principle for some one-dimensional systems of quasilinear equations
• Variational principle for multidimensional conservation laws and pressureless media
• Sticky Particle Dynamics on the Real Line
• Well posedness for pressureless flow

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