The shape of axisymmetric rotating fluid

DOI10.1016/0022-1236(80)90082-8zbMath0439.35068OpenAlexW2021276500MaRDI QIDQ1142370

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90082-8

zbMATH Keywords

celestial mechanics existence of a solution axisymmetric self-gravitating rotating fluid smoothness of the boundary of the fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of rotating fluids (76U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (46)

Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations ⋮ Continua of steadily rotating stars ⋮ Global existence for the \(N\) body Euler-Poisson system ⋮ On uniformly rotating binary stars and galaxies ⋮ Two-dimensional subsonic flows with self-gravitation in bounded domain ⋮ On diameters of uniformly rotating stars ⋮ Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem ⋮ Global weak solutions to the \(\alpha\)-model regularization for 3D compressible Euler-Poisson equations ⋮ Multiplicity of stationary solutions to the Euler--Poisson equations ⋮ An unstable elliptic free boundary problem arising in solid combustion ⋮ Continued Gravitational Collapse for Gaseous Star and Pressureless Euler--Poisson System ⋮ Asymptotic behaviour of global vortex rings ⋮ Stationary rotating surfaces in Euclidean space ⋮ A class of stable energy minimisers for the rotating drop problem ⋮ Rapidly rotating stars ⋮ Some results on Newtonian gaseous stars -- existence and stability ⋮ Asymptotic estimates for an axisymmetric rotating fluid ⋮ Steady States of Rotating Stars and Galaxies ⋮ Stability of rotating gaseous stars ⋮ Existence of Rotating Stars with Variable Entropy ⋮ Stability of Hill's spherical vortex ⋮ The uniqueness of the slowly uniformly rotating supermassive star for a given total mass ⋮ Minimization problems in \(L^1(\mathbb{R}^3)\) ⋮ A remark on the geometry of uniformly rotating stars ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ On rotating axisymmetric solutions of the Euler-Poisson equations ⋮ Vortex Rings: Existence and Asymptotic Estimates ⋮ On uniformly rotating stars ⋮ Unnamed Item ⋮ On rotating star solutions to the non-isentropic Euler-Poisson equations ⋮ Stationary motion of a self-gravitating toroidal incompressible liquid layer ⋮ Existence of magnetic compressible fluid stars ⋮ Rotating fluids with self-gravitation in bounded domains ⋮ On slowly rotating axisymmetric solutions of the Euler-Poisson equations ⋮ Uniform regularity close to cross singularities in an unstable free boundary problem ⋮ Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core ⋮ On the expanding configurations of viscous radiation gaseous stars: thermodynamic model ⋮ Existence and asymptotical behavior of the minimizer of Hartree type equation with periodic potentials ⋮ Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars ⋮ Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations ⋮ Global continuation and the theory of rotating stars ⋮ On the expanding configurations of viscous radiation gaseous stars: the isentropic model ⋮ Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass ⋮ On the existence and limit behavior of ground states for two coupled Hartree equations ⋮ Constraint minimizers of mass critical Hartree energy functionals: Existence and mass concentration ⋮ The global branching of rotating stars

Cites Work

This page was built for publication: The shape of axisymmetric rotating fluid