One-Dimensional Pressureless Gas Systems with/without Viscosity

DOI10.1080/03605302.2015.1030955zbMath1332.35297OpenAlexW1848249494MaRDI QIDQ3448245

Adrian Tudorascu, Van Truyen Nguyen

Publication date: 23 October 2015

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2015.1030955

zbMATH Keywords

conservation lawsWasserstein metricpressureless Euler-Poisson

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for systems of nonlinear higher-order PDEs (35G55) Initial value problems for systems of nonlinear first-order PDEs (35F55) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items (11)

Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting) ⋮ Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions ⋮ Well posedness for pressureless Euler system with a flocking dissipation in Wasserstein space ⋮ The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law ⋮ On the sticky particle solutions to the multi-dimensional pressureless Euler equations ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations ⋮ Prescribing Initial Values for the Sticky Particle System (Survey) ⋮ Shadow wave tracking procedure and initial data problem for pressureless gas model ⋮ Lagrangian Coordinates for the Sticky Particle System ⋮ Probability measures on the path space and the sticky particle system

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