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Now showing items 1-7 of 7

#### Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations

(Journal of Mathematical Analysis and Applications, 2018-10)

We prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing ...

#### On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids

(Journal of Differential Equations, 2018-09)

We study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are ...

#### Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7

(Comptes Rendus Mathematique, 2018-09-01)

For ε>0, we consider the Ginzburg-Landau functional for RN-valued maps defined in the unit ball BN⊂RN with the vortex boundary data x on ∂BN. In dimensions N≥7, we prove that for every ε>0, there exists a unique global ...

#### Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals

(Archive for Rational Mechanics and Analysis, 2018-08-10)

We consider the Beris-Edwards system modelling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a parabolic reaction-convection-diffusion equation for the ...

#### Defects in Nematic Shells: a Gamma-convergence discrete-to-continuum approach

(Archive for Rational Mechanics and Analysis, 2018-07)

In this paper we rigorously investigate the emergence of defects on Nematic Shells with a genus different from one. This phenomenon is related to a non-trivial interplay between the topology of the shell and the alignment ...

#### Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals

(Proceedings of the Royal Society A-Mathematical, Physical and Engineering Sciences, 2018-02-14)

We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on the effect of the flow. We show that in ...

#### Zero limit of entropic relaxation time for the Shliomis model of ferrofluids

(2018-02-11)

We construct solutions for the Shilomis model of ferrofluids in a critical space, uniformly in the entropic relaxation time $ \tau \in (0, \tau_0) $. This allows us to study the convergence when $ \tau\to 0 $ for such solutions.