Add to ORKGIn this paper, we mainly study the global well-posedness and $L^2$ decay rate for the strong solutions of the compressible co-rotation finite extensible nonlinear elastic (FENE) dumbbell model with small initial data. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We first prove that the FENE dumbbell model admits a unique global strong solution provided the initial data are close to equilibrium state for $d\geq 2$. Moreover, for $d\geq3$, we show that optimal $L^2$ decay rates of global strong solutions by the linear spectral theory.Comment: 24 page
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We study the well-posedness of a multi-scale model of polymeric fluids. The microscopic model is the...
We address the closure problem for the most elementary non-linear kinetic model of a dilute polymeri...
We show the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-...
A compressible FENE-P-type model with stress diffusion is derived from an approximate macroscopic cl...
We consider the existence of global-in-time weak solutions in two spatial dimensions to the Hookean ...
In this paper, we mainly study global existence and optimal $L^2$ decay rate of weak solutions to th...
In two space dimension, we prove the global existence of smooth solutions to a coupled microscopic-m...
Motivated by [P. Constantin, N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled ...
Abstract. We present some analytical and numerical studies on the finite extendible nonlinear elasti...
International audienceWe consider the FENE dumbbell polymer model which is the coupling of the incom...
We study the existence of global-in-time weak solutions to a coupled microscopicmacroscopic bead-spr...
We study the existence of global-in-time weak solutions to a coupled microscopic-macroscopic bead-sp...
A compressible Oldroyd–B type model with stress diffusion is derived from a compressible Navier–Stok...
We prove the existence of global-in-time weak solutions to a general class of models that arise from...
We study the existence of global-in-time weak solutions to a coupled microscopic-macroscopic bead-sp...
We study the well-posedness of a multi-scale model of polymeric fluids. The microscopic model is the...
We address the closure problem for the most elementary non-linear kinetic model of a dilute polymeri...
We show the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-...