Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations
DOI10.1137/22m1487692zbMath1522.35380arXiv2001.06753MaRDI QIDQ6112945
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Publication date: 8 August 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.06753
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31) Classical solutions to PDEs (35A09)
Cites Work
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- Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum
- Finite energy solutions to the isentropic Euler equations with geometric effects
- Formation of singularities in three-dimensional compressible fluids
- On the vacuum state for the equations of isentropic gas dynamics
- The global weak solutions of compressible Euler equation with spherical symmetry
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
- Initial boundary value problem for the spherically symmetric motion of isentropic gas
- Global weak solutions of the compressible Euler equation with spherical symmetry. II
- Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II
- Formation and construction of shock for \(p\)-system.
- On exact solutions of rarefaction-rarefaction interactions in compressible isentropic flow
- The shock development problem
- Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity
- Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
- Blowup for nonlinear hyperbolic equations
- Global solutions of the compressible Euler equations with large initial data of spherical symmetry and positive far-field density
- On the implosion of a compressible fluid. I: Smooth self-similar inviscid profiles
- Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data
- Shock-free solutions of the compressible Euler equations
- Singularities of solutions to compressible Euler equations with vacuum
- SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS
- FORMATION OF SINGULARITY AND SMOOTH WAVE PROPAGATION FOR THE NON-ISENTROPIC COMPRESSIBLE EULER EQUATIONS
- Compressible Flow and Euler's Equations
- Formation of Singularities in Compressible Fluids in Two-Space Dimensions
- Delayed singularity formation in 2D compressible flow
- Sur la solution à support compact de l’equation d’Euler compressible
- Formation of singularities in one-dimensional nonlinear wave propagation
- Remarks on spherically symmetric solutions of the compressible Euler equations
- Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems
- Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations
- Amplitude Blowup in Radial Isentropic Euler Flow
- Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations
- 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
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