Eulerian Dynamics in Multidimensions with Radial Symmetry

DOI10.1137/20M1358682zbMath1472.35311arXiv2007.15758MaRDI QIDQ4997159

Changhui Tan

Publication date: 28 June 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15758

zbMATH Keywords

Burgers equationEuler-Poisson equationsradial symmetryEulerian dynamicsmultidimensionEuler-alignment equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry ⋮ Swarming: hydrodynamic alignment with pressure ⋮ Critical thresholds in the Euler-Poisson-alignment system ⋮ On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations ⋮ Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement ⋮ Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Sharp critical thresholds for a class of nonlocal traffic flow models ⋮ The pressureless damped Euler-Riesz equations

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