Well-posedness of non-isentropic Euler equations with physical vacuum
DOI10.4171/IFB/422zbMath1428.35326arXiv1806.09799WikidataQ127449719 ScholiaQ127449719MaRDI QIDQ2327764
Dehua Wang, Yongcai Geng, Run-Zhang Xu, Ya-Chun Li
Publication date: 15 October 2019
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.09799
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum
- Convergence of the viscosity method for isentropic gas dynamics
- Well posedness for the motion of a compressible liquid with free surface boundary
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- A symmetrization of the relativistic Euler equations with several spatial variables
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- Local well-posedness of dynamics of viscous gaseous stars
- On the vacuum state for the equations of isentropic gas dynamics
- On the vacuum state for the isentropic gas dynamics equations
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Compressible Euler equations with vacuum
- Compressible flow with vacuum and physical singularity.
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- Compressible flow with damping and vacuum
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations
- A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
- Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping
- Well and ill-posedness for compressible Euler equations with vacuum
- Vacuum in Gas and Fluid Dynamics
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Fourier Analysis and Nonlinear Partial Differential Equations
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- On the expansion of a gas into vacuum
- Well-posedness for compressible Euler equations with physical vacuum singularity
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Sur la solution à support compact de l’equation d’Euler compressible
- Remarks on DiPerna’s paper “Convergence of the viscosity method for isentropic gas dynamics”
- Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
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