COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Some polymeric fluid flow models: steady states and large-time convergence

## Some polymeric fluid flow models: steady states and large-time convergenceAdd to your list(s) Download to your calendar using vCal - Arnold, A (TU Wien)
- Tuesday 07 September 2010, 16:10-16:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Partial Differential Equations in Kinetic Theories We consider a dumbbell model for a dilute solution of polymers in a homogeneous fluid. In a micro-macro model, the incompressible Navier-Stokes equation for the fluid flow is coupled to a Fokker-Planck equation for the (microscipic) distribution of the polymeric chains. First we analyze the linear Fokker-Planck equation for Hookean dumbbells and in the case of finite extension nonlinear elasticity (FENE): steady states and large-time convergence using entropy methods. In the FENE case the stationary problem is degenerate elliptic, requiring to use weighted Sobolev spaces. In the coupled Hookean case we also show exponential convergence to a homogeneous stationary flow. References: A. Arnold, J.A. Carrillo, C. Manzini: Refined long-time asymptotics for some polymeric fluid flow models, Comm. Math. Sc. 8, No. 3 (2010) 763-782. A. Arnold, C. Bardos, I. Catto: Stable steady states of a FENE -dumbbell model for polymeric fluid flows, preprint, 2010. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsInstitution of Civil Engineers (Cambridge Branch) Semitic linguistics Cambridge Union Society - Debates and Speakers## Other talksXZ: X-ray spectroscopic redshifts of obscured AGN A compositional approach to scalable statistical modelling and computation Imaging techniques and novel tools for early detection and intervention The potential of the non-state sector:what can be learnt from the PEAS example Investigation into appropriate statistical models for the analysis and visualisation of data captured in clinical trials using wearable sensors Nonstationary Gaussian process emulators with covariance mixtures Sneks long balus Market Socialism and Community Rating in Health Insurance The Gopakumar-Vafa conjecture for symplectic manifolds Single Cell Seminars (October) 'Politics in Uncertain Times: What will the world look like in 2050 and how do you know? Domain Uncertainty Quantification |