Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction

DOI10.1137/20M1314240zbMath1464.76048OpenAlexW3132381425MaRDI QIDQ4983531

Adam Bauer, Paul Carter

Publication date: 20 April 2021

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

Full work available at URL: https://doi.org/10.1137/20m1314240

zbMATH Keywords

slow manifoldgeometric singular perturbation theorysaddle canard trajectory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transonic flows (76H05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

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• À propos de canards (Apropos canards)
• On the effects of viscosity in one-fluid solar wind theory
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• Tracking Invariant Manifolds up to Exponentially Small Errors
• Characterization of the Transonic Stationary Solutions of the Hydrodynamic Escape Problem
• Transonic canards and stellar wind
• Transonic Evaporation Waves in a Spherically Symmetric Nozzle
• Canards in \(\mathbb{R}^3\)

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