The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions

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Global Well-Posedness for Compressible Viscoelastic Fluids near Equilibrium (2010, background): “We should point out that the authors in [6,16,18] used a kind of special quantity to reveal some weak dissipation mechanisms of U − I .”
Well-posedness of a 3D parabolic–hyperbolic Keller–Segel system in the Sobolev space framework (2012, unknown): “For various aspects of the smoothing properties, we refer the readers to see, for instance [6, 9] and the references therein.”
Global Solutions for Incompressible Viscoelastic Fluids (2008, methodology): “The results and methods presented in this paper are also valid for a wide range of elastic complex fluids, such as magnetohydrodynamics, liquid crystals and mixture problems.”
Global small solutions to 2-D incompressible MHD system (2013, unknown): “3), we can not apply the ideas and analysis developed in [23, 24, 9, 21] for the viscoelastic fluid system to solve (1.”