Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force
From MaRDI portal
Publication:2018445
DOI10.3934/cpaa.2015.14.549zbMath1370.37139OpenAlexW2315410596MaRDI QIDQ2018445
Publication date: 14 April 2015
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.549
integration methodblow upregular solutionrelativistic Euler-Poisson equationsrelativistic Euler equations
Analyticity in context of PDEs (35A20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) PDEs in connection with relativity and gravitational theory (35Q75) Dynamical systems in classical and celestial mechanics (37N05) Blow-up in context of PDEs (35B44) Euler equations (35Q31)
Related Items
Blowup of regular solutions for the relativistic Euler-Poisson equations ⋮ A note on blowup of smooth solutions for relativistic Euler equations with infinite initial energy ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ Long-time behaviours of classical solutions to relativistic Euler-Poisson equations ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state
Cites Work
- Unnamed Item
- Unnamed Item
- Global smooth solutions to relativistic Euler-Poisson equations with repulsive force
- Blowup for the Euler and Euler-Poisson equations with repulsive forces
- Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations
- Blowup of smooth solutions for relativistic Euler equations
- Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
- On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\)
- Non-relativistic global limits to the three dimensional relativistic Euler equations with spherical symmetry
- A symmetrization of the relativistic Euler equations with several spatial variables
- Formation of singularities in solutions to nonlinear hyperbolic equations
- Formation of singularities in three-dimensional compressible fluids
- Sur l'existence des solutions locales de l'équation d'Euler-Poisson pour l'évolution d'étoiles gazeuses. (Local existence of solutions for Euler-Poisson's equation for the evolution of gazeous stars)
- Global solutions to the relativistic Euler equation with spherical symmetry
- Formation of singularities in the Euler and Euler-Poisson equations
- On spherically symmetric solutions of the relativistic Euler equation
- Local smooth solutions of the relativistic Euler equation
- Local smooth solutions of the relativistic Euler equation. II
- Local existence and non-relativistic limits of shock solutions to a multidimensional piston problem for the relativistic Euler equations
- On the steady state relativistic Euler-Poisson equations
- Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations
- An Overview of Piston Problems in Fluid Dynamics
- The special relativistic shock tube
- Sur la solution à support compact de l’equation d’Euler compressible
- Relativistic Fluids and Magneto-fluids
- Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses
- Global entropy solutions for isentropic relativistic fluid dynamics
- Non-existence of global solutions to Euler-Poisson equations for repulsive forces
- Relativistic Rankine-Hugoniot Equations