Articles with "strong solution" as a keyword



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Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D

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Published in 2018 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201700050

Abstract: We consider Navier-Stokes equations for compressible viscous fluids in one dimension. We prove the existence of global strong solution with large initial data for the shallow water system. The key ingredient of the proof relies… read more here.

Keywords: existence global; strong solution; global strong; stokes equations ... See more keywords
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Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model

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Published in 2017 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2016.10.011

Abstract: Abstract A complex hydrodynamic system that models the fluid of nematic liquid crystals in a bounded domain in R 3 is studied. The system is a forced incompressible Navier–Stokes equation coupled with a parabolic type… read more here.

Keywords: strong solution; global strong; liquid; tensor ... See more keywords
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Global strong solution for the incompressible flow of liquid crystals with vacuum in dimension two

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Published in 2017 at "Discrete and Continuous Dynamical Systems"

DOI: 10.3934/dcds.2017211

Abstract: This paper is devoted to the study of the initial-boundary value problem for density-dependent incompressible nematic liquid crystal flows with vacuum in a bounded smooth domain of \begin{document}$\mathbb{R}^2$\end{document} . The system consists of the Navier-Stokes… read more here.

Keywords: strong solution; global strong; liquid; incompressible flow ... See more keywords