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
On strong solutions of fractional nonlinear viscoelastic model of Voigt type
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DOI: 10.1002/mma.6359
Abstract: This paper concerns the existence and uniqueness of the strong solutions to the initial‐boundary value problems of fractional analog of Voigt model in the planar case. read more here.
Keywords: voigt; solutions fractional; strong solutions; model ... 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
Extension criterion via partial components of vorticity on strong solutions to the Navier-Stokes equations in higher dimensions
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DOI: 10.1016/j.jde.2017.05.016
Abstract: Abstract We consider the extension criterion of strong solutions to the Navier–Stokes equations in R N . It is proved that among N ( N − 1 ) / 2 components of the vorticity, [… read more here.
Keywords: criterion; extension criterion; strong solutions; components vorticity ... See more keywords
Strong solutions to a parabolic equation with linear growth with respect to the gradient variable
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DOI: 10.1016/j.jde.2018.01.050
Abstract: Abstract In this paper we prove existence and uniqueness of strong solutions to the homogeneous Neumann problem associated to a parabolic equation with linear growth with respect to the gradient variable. This equation is a… read more here.
Keywords: parabolic equation; equation linear; growth respect; strong solutions ... 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 well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum
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DOI: 10.1016/j.jde.2021.03.042
Abstract: Abstract We prove the global well-posedness of the strong solution to the two-dimensional inhomogeneous incompressible primitive equations for initial data with small H 1 2 -norm, which also satisfies a natural compatibility condition. A logarithmic… read more here.
Keywords: incompressible primitive; strong solutions; global well; primitive equations ... See more keywords
Strong solutions to a fourth order exponential PDE describing epitaxial growth
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DOI: 10.1016/j.jde.2021.10.034
Abstract: where ν is the unit outward normal vector to the boundary. Equation (1.1) can be used to describe the evolution of a crystal surface [6]. In this case, u is the surface height. The fourth… read more here.
Keywords: epitaxial growth; order; space; fourth order ... See more keywords
Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data
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DOI: 10.1016/j.jmaa.2017.03.086
Abstract: Abstract Recently, Leray's problem of the L 2 -decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to… read more here.
Keywords: decay turbulent; existence strong; turbulent solutions; strong solutions ... See more keywords
Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise
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DOI: 10.1016/j.jmaa.2018.10.068
Abstract: Abstract In this paper, we consider stochastic second grade fluids driven by Levy noise on a bounded domain of R 2 . Global existence and uniqueness of strong probabilistic solutions are established, which improves the… read more here.
Keywords: fluids driven; grade fluids; strong solutions; solutions stochastic ... See more keywords
Global strong solutions to the nonhomogeneous incompressible MHD equations in a bounded domain
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DOI: 10.1016/j.nonrwa.2018.08.010
Abstract: Abstract In this paper we study the global existence of strong solutions to the 2D and 3D nonhomogeneous incompressible magnetohydrodynamic equations in a bounded domain. Our proofs are based on the combination of the regularity… read more here.
Keywords: solutions nonhomogeneous; strong solutions; bounded domain; nonhomogeneous incompressible ... See more keywords