404 citations · 3.5k across the 79 of their papers we have counts for
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Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids
John W. Barrett, Endre Süli
We explore the existence of global weak solutions to the Hookean dumbbell model, a system of nonlinear partial differential equations that arises from the kinetic theory of dilute…
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
John W. Barrett, Yong Lu, Endre Süli
A compressible Oldroyd--B type model with stress diffusion is derived from a compressible Navier--Stokes--Fokker--Planck system arising in the kinetic theory of dilute polymeric fl…
Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers
John W. Barrett, Endre Süli
We prove the existence of global-in-time weak solutions to a general class of models that arise from the kinetic theory of dilute solutions of nonhomogeneous polymeric liquids, whe…
A Quasi-Variational Inequality Problem Arising in the Modeling of Growing Sandpiles
John W. Barrett, Leonid Prigozhin
Existence of a solution to the quasi-variational inequality problem arising in a model for sand surface evolution has been an open problem for a long time. Another long-standing op…
Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity
John W. Barrett, Endre Süli
We show the existence of global-in-time weak solutions to a general class of coupled bead-spring chain models that arise from the kinetic theory of dilute solutions of nonhomogeneo…
Reflections on Dubinskii's nonlinear compact embedding theorem
John W. Barrett, Endre Süli
We present an overview of a result by Ju. A. Dubinskii [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a semin…
Existence and equilibration of global weak solutions to Hookean-type bead-spring chain models for dilute polymers
John W. Barrett, Endre Süli
We show the existence of global-in-time weak solutions to a general class of coupled Hookean-type bead-spring chain models that arise from the kinetic theory of dilute solutions of…
Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers
John W. Barrett, Endre Süli
We show the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-spring chain models that arise from the kinetic theory of dilute solutions of po…
On -harmonic map heat flows for {} and their finite element approximations
John W. Barrett, Xiaobing Feng, Andreas Prohl
Motivated by emerging applications from imaging processing, the heat flow of a generalized -harmonic map into spheres is studied for the whole spectrum, , in a u…