On model two-dimensional pressureless gas flows: variational description and numerical algorithm based on adhesion dynamics

DOI10.1134/s0965542523040097OpenAlexW4378676663MaRDI QIDQ6159054

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Publication date: 1 June 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523040097

zbMATH Keywords

conservation lawsadhesion dynamicsRankine-Hugoniot relationspressureless gas dynamicsvariation principlehierarchy of singularities

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (1)

On the hierarchy and fine structure of blowups and gradient catastrophes for multidimensional homogeneous Euler equation ^*

Cites Work

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• Two-fluid flows of a mixture of a gas and solid particles with films and filaments appearing in flows past impermeable surfaces
• On discontinuity surfaces in a medium devoid of proper pressure
• Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
• The Riemann problem for the two-dimensional zero-pressure Euler equations
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Solutions with substance decay in pressureless gas dynamics systems
• Non-conventional and conventional solutions for one-dimensional pressureless gas
• Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics
• Non-existence and non-uniqueness for multidimensional sticky particle systems
• Particle dynamics inside shocks in Hamilton–Jacobi equations
• $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
• Delta-shocks as limits of vanishing viscosity for multidimensional 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
• A trajectory map for the pressureless Euler equations
• A New Sticky Particle Method for Pressureless Gas Dynamics
• Sticky Particle Dynamics on the Real Line
• The Mathematical Models for Description of Flow of Gas and Foreign Particles and for Non-Stationary Filtration of Liquids and Gas in Porous Medium
• Well posedness for pressureless flow
• On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations

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