Larson-Penston self-similar gravitational collapse

DOI10.1007/s00220-021-04175-yzbMath1482.35228arXiv2011.01013OpenAlexW3096698876MaRDI QIDQ2050071

Yan Guo, Juhi Jang, Mahir Hadžić

Publication date: 30 August 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01013

zbMATH Keywords

self-similar solutionexistence of solutionsonic pointgravitational Euler-Poisson systemisothermal equation of stateLarson-Penston expansion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Compressible fluids and gas dynamics (76N99) Self-similar solutions to PDEs (35C06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Star dynamics: Collapse vs. expansion ⋮ Naked singularities in the Einstein-Euler system ⋮ Global finite-energy solutions of the compressible Euler-Poisson equations for general pressure laws with large initial data of spherical symmetry ⋮ Self-similar solutions to the compressible Euler equations and their instabilities ⋮ Gravitational collapse for polytropic gaseous stars: self-similar solutions

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