Remarks on the derivation of the hydrostatic Euler equations.
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Publication:1414105
DOI10.1016/S0007-4497(03)00024-1zbMath1040.35068OpenAlexW1998243964MaRDI QIDQ1414105
Publication date: 19 November 2003
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0007-4497(03)00024-1
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical theory of incompressible nonviscous fluids
- Topological methods in hydrodynamics
- Relative entropy and hydrodynamics of Ginzburg-Landau models
- Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system
- FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
- Homogeneous hydrostatic flows with convex velocity profiles
- On the derivation of homogeneous hydrostatic equations
- convergence of the vlasov-poisson system to the incompressible euler equations
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