Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D
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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
Global strong solutions to the Shliomis system for ferrofluids in a bounded domain
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DOI: 10.1002/mma.5695
Abstract: We consider the partial differential equations proposed by Shliomis to model the dynamics of an incompressible viscous ferrofluid submitted to an external magnetic field. The Shliomis system consists of the incompressible Navier‐Stokes equations, the magnetization… read more here.
Keywords: system; solutions shliomis; strong solutions; global strong ... See more keywords
Global strong solutions and time decay of 2D tropical climate model with zero thermal diffusion
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DOI: 10.1002/mma.6452
Abstract: The global small solutions of the tropical climate model are obtained with the fractional dissipative terms Λαu in the equation of the barotropic mode u and Λαv in the equation of the first baroclinic mode… read more here.
Keywords: global strong; tropical climate; climate model; strong solutions ... See more keywords
Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model
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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
Time decay rate of global strong solutions to nematic liquid crystal flows in R+3
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DOI: 10.1016/j.jde.2019.02.021
Abstract: In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial data has small $L^3(\mathbb R^3_+)$-norm. read more here.
Keywords: nematic liquid; global strong; time decay; liquid crystal ... See more keywords
Global strong solution for the incompressible flow of liquid crystals with vacuum in dimension two
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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