Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
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Publication:880445
DOI10.1016/S0021-7824(03)00015-1zbMath1109.35088MaRDI QIDQ880445
Publication date: 15 May 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
weak convergenceaxisymmetricconcentration compactnessglobal weak solutions3D compressible Navier-Stokes equations
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- Ordinary differential equations, transport theory and Sobolev spaces
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- On compactness of solutions to the Navier-Stokes equations of compressible flow
- On the motion of a viscous compressible fluid driven by a time-periodic external force
- Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
- On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
- Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
- On the existence of globally defined weak solutions to the Navier-Stokes equations