Numbers of equilibria for the equation of self-gravitating isentropic gas surrounding a solid ball

DOI10.1007/BF03167250zbMath0857.76076MaRDI QIDQ1922234

Song-Sun Lin, Wen-Chi Kuan

Publication date: 9 March 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

adiabatic indexLane-Emden equationsolid core

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (4)

A Model of Radiational Gaseous Stars ⋮ Free boundary problem for the equation of spherically symmetric motion of viscous gas. III ⋮ On the critical mass of the collapse of a gaseous star in spherically symmetric and isentropic motion ⋮ Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system

Cites Work

• On the existence of positive radial solutions for nonlinear elliptic equations in annular domains
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Uniqueness of Radial Solutions of Semilinear Elliptic Equations
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