The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations

DOI10.1007/s00033-017-0864-yzbMath1378.35190OpenAlexW2758198694MaRDI QIDQ1690537

Chang-Hua Wei

Publication date: 19 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0864-y

zbMATH Keywords

lifespannull conditionspherically symmetric solutionrelativistic Euler

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for first-order hyperbolic systems (35L50) Euler equations (35Q31)

Related Items

Stabilizing effect of the power law inflation on isentropic relativistic fluids, Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations, Classical solutions to the relativistic Euler equations for a linearly degenerate equation of state, Global smooth solutions to 3D irrotational Euler equations for Chaplygin gases, Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-gravitating relativistic fluids: the formation of a free phase boundary in the phase transition from hard to soft
• The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
• On the formation of shocks for quasilinear wave equations
• Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases
• Blowup of smooth solutions for relativistic Euler equations
• The formation of shocks in 3-dimensional fluids.
• Global existence of a class of smooth 3D spherically symmetric flows of Chaplygin gases with variable entropy
• Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
• 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
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Global solutions of the relativistic Euler equations
• Nonresonance and global existence of prestressed nonlinear elastic waves
• Local smooth solutions of the relativistic Euler equation
• Spreading of the free boundary of relativistic Euler equations in a vacuum
• Global solutions of the evolutionary Faddeev model with small initial data
• Singularities of solutions to compressible Euler equations with vacuum
• Spreading of the free boundary of an ideal fluid in a vacuum
• The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases
• The lifespan of a class of smooth spherically symmetric solutions of the compressible Euler equations with variable entropy in three space dimensions
• Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry
• Small-data shock formation in solutions to 3D quasilinear wave equations: An overview
• Compressible Flow and Euler's Equations
• Delayed singularity formation in 2D compressible flow
• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
• 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
• Life-Span of Solutions to Critical Semilinear Wave Equations
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Non-existence of global solutions to Euler-Poisson equations for repulsive forces
• The null condition for quasilinear wave equations in two space dimensions. I