Existence of Global Weak Solutions for Some Polymeric Flow Models by Barrett, J, Schwab, C, Suli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain for the velocity and the pressure of the fluid, with an extra-stress tensor as right-hand side in the momentum equation. …”

Existence of global weak solutions for some polymeric flow models by Barrett, J, Schwab, C, Suli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain Ω ⊂ ℝd, d = 2, 3, for the velocity and the pressure of the fluid, with an extra-stress tensor as right-hand side in the momentum equation. …”

Existence of global weak solutions to kinetic models for dilute polymers by Barrett, J, Suli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain in two or three space dimensions, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as right-hand side in the momentum equation. …”

Existence of global weak solutions to some regularized kinetic models for dilute polymers by Barrett, J, Sueli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain Ω ⊂ ℝ d, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as the right-hand side in the momentum equation. …”

Numerical approximation of corotational dumbbell models for dilute polymers by Barrett, J, Sueli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as right-hand side in the momentum equation. …”

Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids by Barrett, J, Süli, E

“…This model involves the unsteady incompressible Navier-Stokes equations in a bounded domain in two or three space dimensions for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Numerical approximation of corotational dumbbell models for dilute polymers by Barrett, J, Suli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain Ω in R d, d=2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as right-hand side in the momentum equation. …”

Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case by Suli, E, Barrett, J

“…The right-hand side of the Navier–Stokes momentum equation includes an elastic extra-stress tensor, which is the classical Kramers expression. …”

Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers by Barrett, J, Süli, E

“…The class of models involves the unsteady incompressible Navier-Stokes equations in a bounded domain in two or three space dimensions for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Can a quantum state over time resemble a quantum state at a single time? by Horsman, D, Heunen, C, Pusey, M, Barrett, J, Spekkens, R

“…Under the assumption that the joint state over time is an operator on the tensor product of single-time Hilbert spaces, we analyze various proposals for such a joint state, including one due to Leifer and Spekkens, one due to Fitzsimons, Jones and Vedral, and another based on discrete Wigner functions. …”

Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity by Barrett, J, Süli, E

“…The class of models under consideration involves the unsteady incompressible Navier-Stokes equations with variable density and density-dependent dynamic viscosity in a bounded domain in two and three space dimensions, for the density, the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers by Barrett, J, Süli, E

“…The class of models involves the unsteady incompressible Navier-Stokes equations in a bounded domain Ω d, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-off by Barrett, J, Suli, E

“…The model consists of the unsteady incompressible NavierStokes equations in a bounded domain Ω ⊂ ℝd, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as the right-hand side in the momentum equation. …”

Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers by Barrett, J, Suli, E

“…The class of models involves the unsteady incompressible Navier-Stokes equations in a bounded domain $\Omega \subset R^d$, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Existence and equilibration of global weak solutions to Hookean-type bead-spring chain models for dilute polymers by Barrett, J, Süli, E

“…The class of models involves the unsteady incompressible Navier-Stokes equations in a bounded domain in two or three space dimensions for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

FINITE ELEMENT APPROXIMATION OF KINETIC DILUTE POLYMER MODELS WITH MICROSCOPIC CUT-OFF by Barrett, J, Sueli, E

“…The model consists of the unsteady incompressible Navier-Stokes equations in a bounded domain Ω ⊂ ℝ d, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor as right-hand side in the momentum equation. …”

EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS by Barrett, J, Sueli, E

“…The class of models involves the unsteady incompressible NavierStokes equations in a bounded domain in d, d = 2 or 3, for the velocity and the pressure of the fluid, with an elastic extra-stress tensor appearing on the right-hand side in the momentum equation. …”

Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model by Barrett, J, Lu, Y, Süli, E

“…We develop a priori bounds for the model, including a logarithmic bound, which guarantee the nonnegativity of the elastic extra stress tensor, and we prove the existence of large data global-in-time finite-energy weak solutions in two space dimensions.…”

Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model by Barrett, J, Suli, E

“…We develop a priori bounds for the model, including logarithmic bounds, which guarantee the non-negativity of the conformation tensor and a bound on its trace, and we prove the existence of large-data global-in-time finite-energy weak solutions in two and three space dimensions. …”

Routed quantum circuits by Vanrietvelde, A, Kristjánsson, H, Barrett, J

“…This is in particular the case whenever the combination of subsystems is described by a nontrivial blend of direct sums and tensor products of Hilbert spaces. We therefore propose an extension to the framework of quantum circuits, given by routed linear maps and routed quantum circuits.. …”