Well and ill-posedness for compressible Euler equations with vacuum
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Publication:2872389
DOI10.1063/1.4767369zbMath1440.76134OpenAlexW2061155509MaRDI QIDQ2872389
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4767369
Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Euler equations (35Q31)
Related Items (16)
Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum ⋮ Global existence for the \(N\) body Euler-Poisson system ⋮ Expanding large global solutions of the equations of compressible fluid mechanics ⋮ Well-posedness of Compressible Euler Equations in a Physical Vacuum ⋮ Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions ⋮ Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations ⋮ Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics ⋮ Well and ill-posedness of free boundary problems to relativistic Euler equations ⋮ Spreading of the free boundary of an ideal fluid in a vacuum ⋮ Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations ⋮ Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum ⋮ Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping ⋮ A class of global solutions to the Euler-Poisson system ⋮ Well-posedness of non-isentropic Euler equations with physical vacuum ⋮ Global expanding solutions of compressible Euler equations with small initial densities ⋮ Nonlinear Instability Theory of Lane-Emden Stars
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