Linear stability of liquid Lane-Emden stars
DOI10.1090/QAM/1677zbMATH Open1547.35684MaRDI QIDQ6602242
Publication date: 11 September 2024
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
momentum equationcompressible Euler equationsmathematical physicsanalysis of partial differential equations
PDEs in connection with fluid mechanics (35Q35) Relativistic cosmology (83F05) Stability in context of PDEs (35B35) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Euler equations (35Q31) PDEs in connection with astronomy and astrophysics (35Q85)
Cites Work
- Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum
- Compressible fluid flow and systems of conservation laws in several space variables
- Well posedness for the motion of a compressible liquid with free surface boundary
- The formation of shocks in 3-dimensional fluids.
- On a partial differential equation involving the Jacobian determinant
- Nonlinear instability in gravitational Euler-Poisson systems for \(\gamma=\frac{6}{5}\)
- Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations
- Formation of singularities in three-dimensional compressible fluids
- Blowup phenomena of solutions to Euler--Poisson equations
- Nonlinear stability of gaseous stars
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Stability and instability of self-gravitating relativistic matter distributions
- Turning point principle for relativistic stars
- Well-posedness of free boundary hard phase fluids in Minkowski background and their Newtonian limit
- Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary
- A class of global solutions to the Euler-Poisson system
- Nonlinear Instability Theory of Lane-Emden Stars
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
- Linearized analysis of barotropic perturbations around spherically symmetric gaseous stars governed by the Euler–Poisson equations
- Blowing up solutions of the euler-poisson equation for the evolution of gaseous stars
- Stability of Gaseous Stars in Spherically Symmetric Motions
- (In)finiteness of spherically symmetric static perfect fluids
- Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass‐Critical Euler‐Poisson System
- Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
- Separable Hamiltonian PDEs and Turning Point Principle for Stability of Gaseous Stars
- An introduction to the study of stellar structure.
This page was built for publication: Linear stability of liquid Lane-Emden stars
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6602242)