Výsledky vyhledávání - "Renardy, Michael"

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Null Controllability of the Incompressible Stokes Equations in a 2-D Channel Using Normal Boundary Control

Autor: Chowdhury, Shirshendu, Mitra, Debanjana, Renardy, Michael

In this paper, we consider the Stokes equations in a two-dimen- sional channel with periodic conditions in the direction of the channel. We establish null controllability of this system using a boundary control which acts on the normal component of t

Externí odkaz: http://arxiv.org/abs/1804.09935

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A singular perturbation study of the Rolie-Poly model

Autor: Renardy, Yuriko, Renardy, Michael

We study the Rolie-Poly model for entangled polymers, using a singular perturbation analysis for the limit of large relaxation time. In this limit, it is shown that the model displays the characteristic features of thixotropic yield stress fluids, in

Externí odkaz: http://arxiv.org/abs/1705.04677

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Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids

Autor: Renardy, Michael, Wang, Xiaojun

We consider the flow of an upper convected Maxwell fluid in the limit of high Weissenberg and Reynolds number. In this limit, the no-slip condition cannot be imposed on the solutions. We derive equations for the resulting boundary layer and prove the

Externí odkaz: http://arxiv.org/abs/1202.0685

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Symmetric factorization of the conformation tensor in viscoelastic fluid models

Autor: Balci, Nusret, Thomases, Becca, Renardy, Michael, Doering, Charles R.

The positive definite symmetric polymer conformation tensor possesses a unique symmetric square root that satisfies a closed evolution equation in the Oldroyd-B and FENE-P models of viscoelastic fluid flow. When expressed in terms of the velocity fie

Externí odkaz: http://arxiv.org/abs/1006.3488

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