Recent progress on classical solutions for compressible isentropic Navier-Stokes equations with degenerate viscosities and vacuum
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Publication:504594
DOI10.1007/s00574-016-0165-7zbMath1360.35148OpenAlexW2471140404MaRDI QIDQ504594
Ronghua Pan, Shengguo Zhu, Ya-Chun Li
Publication date: 17 January 2017
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-016-0165-7
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Galactic and stellar dynamics (85A05) Blow-up in context of PDEs (35B44) Boltzmann equations (35Q20)
Related Items (15)
Vanishing viscosity limit of the radiation hydrodynamic equations with far field vacuum ⋮ Existence for the compressible magnetohydrodynamic equations with vacuum ⋮ Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum ⋮ Vanishing viscosity limit of the rotating shallow water equations with far field vacuum ⋮ Global large solutions to planar magnetohydrodynamics equations with temperature-dependent coefficients ⋮ Vanishing viscosity limit of the three-dimensional barotropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum ⋮ Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities ⋮ Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior ⋮ Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum ⋮ Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum ⋮ Global large solutions to the Cauchy problem of planar magnetohydrodynamics equations with temperature-dependent coefficients ⋮ Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with vacuum ⋮ Existence results for chemotaxis-shallow water system with degenerate viscosity coefficients and initial vacuum
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