Characterization of the Transonic Stationary Solutions of the Hydrodynamic Escape Problem

DOI10.1137/130919957zbMath1326.35200OpenAlexW1998479947MaRDI QIDQ5246062

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

Publication date: 17 April 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/38cb62a58bba32edc35705a217db70c0c154273e

zbMATH Keywords

artificial viscositygeometric singular perturbationheat effectadiabatic wind solutioneffect of conduction

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Invariant manifold theory for dynamical systems (37D10) Planetary atmospheres (85A20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (4)

Global Transonic Solutions of Planetary Atmospheres in a Hydrodynamic Region---Hydrodynamic Escape Problem Due to Gravity and Heat ⋮ Transonic canards and stellar wind ⋮ Existence and instability of traveling pulses of Keller–Segel system with nonlinear chemical gradients and small diffusions ⋮ Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction

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