Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum
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Publication:529849
DOI10.1007/s00205-017-1106-3zbMath1367.35115arXiv1512.03288OpenAlexW3104527012MaRDI QIDQ529849
Publication date: 9 June 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.03288
geodesic flowasymptotic limitcompressible and incompressible Euler equationsvacuum free boundary condition
Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Geodesic flows in symplectic geometry and contact geometry (53D25) Euler equations (35Q31)
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Cites Work
- Solutions classiques globales des équations d'Euler pour un fluide parfait compressible. (Global smooth solutions for the Euler equations of a perfect compressible fluid.)
- Well posedness for the motion of a compressible liquid with free surface boundary
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- The formation of black holes in general relativity.
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- Formation of singularities in three-dimensional compressible fluids
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Well-posedness for the linearized motion of a compressible liquid with free surface boundary
- Expanding large global solutions of the equations of compressible fluid mechanics
- Compressible flow with damping and vacuum
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- A simple proof of well-posedness for the free-surface incompressible Euler equations
- Spreading of the free boundary of an ideal fluid in a vacuum
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Well and ill-posedness for compressible Euler equations with vacuum
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Expansion of a compressible gas in vacuum
- Vorticity and the mathematical theory of incompressible fluid flow
- Sur la solution à support compact de l’equation d’Euler compressible
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Global smooth solutions to Euler equations for a perfect gas
- Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
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