Zobrazeno 1 - 10
of 432
pro vyhledávání: '"Süli, Endre"'
We propose and rigorously analyze a finite element method for the approximation of stationary Fokker--Planck--Kolmogorov (FPK) equations subject to periodic boundary conditions in two settings: one with weakly differentiable coefficients, and one wit
Externí odkaz:
http://arxiv.org/abs/2409.07371
We construct a finite element method for the numerical solution of a fractional porous medium equation on a bounded open Lipschitz polytopal domain $\Omega \subset \mathbb{R}^{d}$, where $d = 2$ or $3$. The pressure in the model is defined as the sol
Externí odkaz:
http://arxiv.org/abs/2404.18901
Autor:
Parker, Charles, Süli, Endre
On the reference tetrahedron $K$, we construct, for each $k \in \mathbb{N}_0$, a right inverse for the trace operator $u \mapsto (u, \partial_{n} u, \ldots, \partial_{n}^k u)|_{\partial K}$. The operator is stable as a mapping from the trace space of
Externí odkaz:
http://arxiv.org/abs/2402.15789
We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of polymeric liquids, where the motion of noninteracting polymer chains
Externí odkaz:
http://arxiv.org/abs/2307.16606
Autor:
Dębiec, Tomasz, Süli, Endre
We consider the Hookean dumbbell model, a system of nonlinear PDEs arising in the kinetic theory of homogeneous dilute polymeric fluids. It consists of the unsteady incompressible Navier-Stokes equations in a bounded Lipschitz domain, coupled to a Fo
Externí odkaz:
http://arxiv.org/abs/2306.16901
Autor:
Parker, Charles, Süli, Endre
We construct a right inverse of the trace operator $u \mapsto (u|_{\partial T}, \partial_n u|_{\partial T})$ on the reference triangle $T$ that maps suitable piecewise polynomial data on $\partial T$ into polynomials of the same degree and is bounded
Externí odkaz:
http://arxiv.org/abs/2304.13074
Autor:
He, Chuhui, Süli, Endre
We prove the existence of large-data global-in-time weak solutions to a general class of coupled bead-spring chain models with finitely extensible nonlinear elastic (FENE) type spring potentials for nonhomogeneous incompressible dilute polymeric flui
Externí odkaz:
http://arxiv.org/abs/2202.06445
In this paper we present a novel, closed three-dimensional (3D) random vortex dynamics system, which is equivalent to the Navier--Stokes equations for incompressible viscous fluid flows. The new random vortex dynamics system consists of a stochastic
Externí odkaz:
http://arxiv.org/abs/2201.00448