Singularities of solutions to the compressible Euler equations and Euler-Poisson equations with damping
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Publication:4644619
DOI10.1063/1.5080806zbMath1406.35253OpenAlexW2902613734MaRDI QIDQ4644619
Publication date: 8 January 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5080806
PDEs in connection with optics and electromagnetic theory (35Q60) Gas dynamics (general theory) (76N15) Analyticity in context of PDEs (35A20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)
Related Items (11)
Threshold phenomenon in n-dimensional repulsive restricted Euler–Poisson equations with time-dependent damping ⋮ Surviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of state ⋮ Classical solutions for 1D compressible Euler equations with over damping ⋮ Blowup of regular solutions and \(C^1\) solutions for free boundary problem of Euler-Poisson equations with repulsive force in \({\mathbb{R}}^n \) ⋮ Global solutions for the 1-D compressible Euler equations with time-dependent damping ⋮ Blow up for the solutions of the pressureless Euler–Poisson equations with time‐dependent damping ⋮ Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case ⋮ New weighted functional for non-existence of global solutions to the non-isentropic compressible Euler equations ⋮ Global and blow-up solutions for compressible Euler equations with time-dependent damping ⋮ Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas ⋮ Blowup of solutions to the compressible Euler-Poisson and ideal MHD systems
Cites Work
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- Blowup for the Euler and Euler-Poisson equations with repulsive forces
- \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping
- On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\)
- An improved local blow-up condition for Euler-Poisson equations with attractive forcing
- On the formation of shocks to the compressible Euler equations
- Formation of singularities in solutions to nonlinear hyperbolic equations
- Formation of singularities in three-dimensional compressible fluids
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Local existence of solutions for Euler-Poisson equations
- Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
- Convergence rate for compressible Euler equations with damping and vacuum
- Global existence and blowup of smooth solutions of 3-D potential equations with time-dependent damping
- Formation of singularities in the Euler and Euler-Poisson equations
- Blowup for the \(C^1\) solutions of the Euler-Poisson equations of gaseous stars in \(\mathbb R^N\)
- Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
- Global solution to the equations of viscous gas flows
- Critical thresholds in Euler-Poisson equations
- New method for blowup of the Euler-Poisson system
- Solution reguliere a temps petit pour l'equation d'euler—poisson
- Improved blowup theorems for the Euler-Poisson equations with attractive forces
- Sur la solution à support compact de l’equation d’Euler compressible
- Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
- Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Global solution for an initial boundary value problem of a quasilinear hyperbolic system
- The Formation and Decay of Shock Waves
- Non-existence of global solutions to Euler-Poisson equations for repulsive forces
- Global solutions and relaxation limits of Euler-Poisson equations
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