Development of singularities in the relativistic Euler equations
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Publication:5881732
DOI10.1090/tran/8729OpenAlexW4317852250MaRDI QIDQ5881732
Unnamed Author, Shengguo Zhu, Nikolaos Athanasiou
Publication date: 13 March 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.07467
Shocks and singularities for hyperbolic equations (35L67) Special relativity (83A05) PDEs in connection with relativity and gravitational theory (35Q75) Euler equations (35Q31) Classical solutions to PDEs (35A09)
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Cites Work
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- The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant
- Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations
- Blowup of smooth solutions for relativistic Euler equations
- The formation of shocks in 3-dimensional fluids.
- Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
- \(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics
- Formation of singularities in three-dimensional compressible fluids
- On the vacuum state for the equations of isentropic gas dynamics
- 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
- Conservation laws for relativistic fluid dynamics
- On the relativistic Euler equation
- The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology \(\mathbb{S}^3\)
- Existence of global smooth solution to the relativistic Euler equations
- Spatially periodic solutions in relativistic isentropic gas dynamics
- A polygonal scheme and the lower bound on density for the isentropic gas dynamics
- The relativistic Euler equations: remarkable null structures and regularity properties
- The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state
- Formation of singularities for the relativistic Euler equations
- SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS
- On the existence of solutions to the relativistic Euler equations in two spacetime dimensions with a vacuum boundary
- Compressible Flow and Euler's Equations
- Formation of Singularities in Compressible Fluids in Two-Space Dimensions
- The special relativistic shock tube
- Formation of singularities in one-dimensional nonlinear wave propagation
- Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
- Conservation laws for the relativistic P-system
- Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations
- The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant
- Singularity Formation for the Compressible Euler Equations
- Global classical solutions for general quasilinear hyperbolic systems with decay initial data
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Hyperbolic Conservation Laws in Continuum Physics
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