Inviscid limit for the compressible Euler system with non-local interactions

DOI10.1016/j.jde.2019.05.012zbMath1417.35100arXiv1611.07607OpenAlexW2963098584WikidataQ127888370 ScholiaQ127888370MaRDI QIDQ2420552

Václav Mácha, Jan Březina

Publication date: 6 June 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07607

zbMATH Keywords

artificial viscositymeasure-valued solutionEuler systemcollective behavior

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Animal behavior (92D50) Viscosity solutions to PDEs (35D40) Euler equations (35Q31) Strong solutions to PDEs (35D35)

Related Items (4)

Dissipative Measure-Valued Solutions to the Euler–Poisson Equation ⋮ Vanishing viscosity limit for the compressible Navier-Stokes system via measure-valued solutions ⋮ Stochastic forcing in hydrodynamic models with non-local interactions ⋮ Localised relative energy and finite speed of propagation for compressible flows

Cites Work

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• A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
• Uniqueness of rarefaction waves in multidimensional compressible Euler system
• Existence of Weak Solutions to Kinetic Flocking Models
• Global Ill‐Posedness of the Isentropic System of Gas Dynamics
• Weak solutions for Euler systems with non-local interactions

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