Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state
DOI10.1007/s00033-022-01891-wzbMath1501.35290OpenAlexW4308562697MaRDI QIDQ2096973
Publication date: 11 November 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01891-w
singularityrelativistic Euler equationspropagation speedlogarithmic equation of statesubluminal condition
Shocks and singularities for hyperbolic equations (35L67) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Euler equations (35Q31)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blowup of regular solutions for the relativistic Euler-Poisson equations
- Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equations
- Riemann problem for the isentropic relativistic Chaplygin Euler equations
- Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases
- Riemann problem for the relativistic Chaplygin Euler equations
- Blowup of smooth solutions for relativistic Euler equations
- Riemann problem for the relativistic generalized Chaplygin Euler equations
- Formation of singularities in three-dimensional compressible fluids
- Global solutions of the relativistic Euler equations
- The Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relation
- Stabilizing effect of the power law inflation on isentropic relativistic fluids
- The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations
- Global entropy solutions to the relativistic Euler equations for a class of large initial data
- Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
- Stability of Riemann solutions with large oscillation for the relativistic Euler equations
- Local smooth solutions of the relativistic Euler equation
- Local smooth solutions of the relativistic Euler equation. II
- Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force
- Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations
- Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
- Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities
- Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations
- Relativistic Hydrodynamics
- Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state
- Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
- RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE RELATIVISTIC CHAPLYGIN EULER EQUATIONS
- The intrinsic phenomena of cavitation and concentration in Riemann solutions for the isentropic two-phase model with the logarithmic equation of state
- An alternative to quintessence
This page was built for publication: Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state