83 citations · 462 across the 52 of their papers we have counts for
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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…
Atomistic-to-Continuum Coupling Approximation of a One-Dimensional Toy Model for Density Functional Theory
B. Langwallner, C. Ortner, E. Süli
We consider an atomistic model defined through an interaction field satisfying a variational principle, and can therefore be considered a toy model of (orbital free) density functi…
Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators
Leonardo E. Figueroa, Endre Süli
We investigate the convergence of a nonlinear approximation method introduced by Ammar et al. (J. Non-Newtonian Fluid Mech. 139:153-176, 2006) for the numerical solution of high-di…
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…