Global Transonic Solutions of Planetary Atmospheres in a Hydrodynamic Region---Hydrodynamic Escape Problem Due to Gravity and Heat

DOI10.1137/16M1067561zbMath1372.35225arXiv1511.00804OpenAlexW2963677936MaRDI QIDQ3179344

Shih-Wei Chou, Bo-Chih Huang, Chien-Chang Yen, John M. Hong

Publication date: 21 December 2016

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

Full work available at URL: https://arxiv.org/abs/1511.00804

zbMATH Keywords

Euler equationsgeneralized Glimm schemegeneralized Riemann and boundary-Riemann problemshydrodynamic escape problemhydrodynamic regionnonlinear hyperbolic systems of balance laws

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Planetary atmospheres (85A20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Euler equations (35Q31)

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