Emergence of a hierarchy of singularities in zero-pressure media. Two-dimensional case
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Publication:2090554
DOI10.1134/S0001434622090206zbMath1504.35280MaRDI QIDQ2090554
Yu. G. Rykov, Alexander I. Aptekarev
Publication date: 25 October 2022
Published in: Mathematical Notes (Search for Journal in Brave)
generalized Rankine-Hugoniot relationsstrong singularityconcentration of matterhierarchy of singularitieszero-pressure medium
PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Galactic and stellar structure (85A15) Galactic and stellar dynamics (85A05) PDEs in connection with astronomy and astrophysics (35Q85)
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Cites Work
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- 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
- An existence theorem in the large for zero-pressure gas dynamics
- 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
- A variational principle for a two-dimensional system of equations of gas dynamics without stress
- 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
- Well posedness for pressureless flow
- On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations
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