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 decay problems of a collisionless gas: Numerical study

## Some decay problems of a collisionless gas: Numerical studyAdd to your list(s) Download to your calendar using vCal - Aoki, K (Kyoto)
- Tuesday 07 September 2010, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Partial Differential Equations in Kinetic Theories We investigate time-dependent behavior of a collisionless (or highly rarefied) gas in the following two problems: (i) A collisionless gas is confined in a closed domain bounded by a diffusely reflecting wall with a uniform temperature. The approach of the gas to an equilibrium state at rest, caused by the interaction of gas molecules with the wall, is investigated numerically. It is shown that the approach is slow and proportional to an inverse power of time. This is a joint work with T. Tsuji and F. Golse. (ii) An infinite plate without thickness is placed in a collisionless gas, and an external force, obeying Hooke’s law, is acting perpendicularly on the plate. If the plate is displaced perpendicularly from its equilibrium position and released, then it starts an oscillatory motion, which decays as time goes on because of the drag exerted by the gas molecules. This unsteady motion is investigated numerically, under the diffuse reflection condition, with special interest in the manner of its decay. It is shown that the decay of the displacement of the plate is slow and is in proportion to an inverse power of time. The result complements the existing mathematical study of a similar problem [S. Caprino, et al., Math. Models. Meth. Appl. Sci. 17, 1369 (2007)] in the case of non-oscillatory decay. This is a joint work with T. Tsuji. 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 listsDirac Lecture Martin Centre Research Seminar Series - 43rd Annual Series of Lunchtime Lectures The best of Telluride Mountainfilm Festival## Other talksDevelopment of machine learning based approaches for identifying new drug targets Emergence in Physics: Life, the Universe and the Nature of Reality Dispersion for the wave and the Schrodinger equations outside strictly convex obstacles Arithmetic and Dynamics on Markoff-Hurwitz Varieties Developing joint research between a UK university and and INGO on disability and education: opportunities and challenges Algorithmic Investigation of Large Biological Data sets |