Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation
Sign Up to like & getrecommendations! Published in 2017 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1007/s11859-017-1212-y
Abstract: We study the combination of quasi-neutral limit and viscosity limit of smooth solution for the three-dimensional compressible viscous Navier-Stokes-Poisson-Korteweg equation for plasmas and semiconductors. When the Debye length and viscosity coefficients are sufficiently small, the… read more here.
Keywords: three dimensional; stokes poisson; incompressible euler; equation ... See more keywords
Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain
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DOI: 10.1016/j.jde.2019.04.025
Abstract: Abstract We study the singularity formation of strong solutions to the two-dimensional (2D) compressible non-isothermal nematic liquid crystal flows in a bounded domain. Under a geometric condition of the initial orientation field, we show that… read more here.
Keywords: dimensional compressible; compressible non; isothermal nematic; singularity formation ... See more keywords
Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.001
Abstract: Abstract We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier–Stokes equations [14] , while the… read more here.
Keywords: three dimensional; compressible radiation; hydrodynamics; blow criteria ... See more keywords
Global solutions for the one-dimensional compressible Navier-Stokes-Smoluchowski system
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DOI: 10.1063/1.4982360
Abstract: In this paper, we consider a fluid-particle interaction model for the evolution of particles dispersed in a fluid. The fluid flow is governed by the Navier-Stokes equations for a compressible fluid while the evolution of… read more here.
Keywords: solutions one; system; one dimensional; global solutions ... See more keywords