Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system
From MaRDI portal
Publication:5409850
DOI10.1512/iumj.2013.62.5017zbMath1296.35120OpenAlexW2029337098MaRDI QIDQ5409850
Takayoshi Ogawa, Takayuki Kobayashi
Publication date: 15 April 2014
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2013/5017
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Miscellaneous topics in partial differential equations (35R99) Euler-Poisson-Darboux equations (35Q05)
Related Items (10)
Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces ⋮ Stability and instability of solutions to the drift-diffusion system ⋮ Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces ⋮ Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition ⋮ Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions ⋮ Unboundedness for solutions to a degenerate drift-diffusion equation with the \(L^{1}\)-supercritical and the energy subcritical exponent ⋮ Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case ⋮ The rate of concentration for the radially symmetric solution to a degenerate drift-diffusion equation with the mass critical exponent ⋮ Maximal regularity and a singular limit problem for the Patlak-Keller-Segel system in the scaling critical space involving \textit{BMO} ⋮ Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents
This page was built for publication: Fluid mechanical approximation to the degenerated drift-diffusion system from the compressible Navier-Stokes-Poisson system
