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 > Fluid Mechanics (DAMTP) > Applications of optimization and optimal control to some fundamental problems in mathematical fluid dynamics

## Applications of optimization and optimal control to some fundamental problems in mathematical fluid dynamicsAdd to your list(s) Download to your calendar using vCal - Charlie Doering (University of Michigan)
- Wednesday 03 May 2017, 13:00-14:00
- MR5, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.
If you have a question about this talk, please contact Doris Allen. Optimization and optimal dynamical control are used to investigate the accuracy of analytical estimates for solutions of some basic nonlinear partial differential equations of mathematical hydrodynamics. Even though many mathematical estimates are demonstrably sharp, the result of a sequence of applications of such estimates need not be sharp leaving uncertainty in the ultimate result of the analysis. We examine the classical analysis for enstrophy and palinstrophy amplification in Burgers’ and the Navier-Stokes equations and discover that the best known instantaneous growth rates estimates are indeed sharp. Integrating the estimates in time, however, may (as in the 2D Navier-Stokes case) but does not always (as in the Burgers case) produce sharp estimates in which case optimal control techniques must be brought to bear to determine the actual extreme behavior of the nonlinear dynamics. The question of 3D Navier-Stokes regularity remains unresolved although work is in progress to apply these tools to the challenge. This talk is part of the Fluid Mechanics (DAMTP) series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CamBridgeSens
- Combined External Astrophysics Talks DAMTP
- Cosmology, Astrophysics and General Relativity
- DAMTP Fluids Talks
- DAMTP info aggregator
- Fluid Mechanics (DAMTP)
- Life Science Interface Seminars
- MR5, Centre for Mathematical Sciences, Wilberforce Road, Cambridge
- SJC Regular Seminars
- School of Physical Sciences
- Talks related to atmosphere and ocean dynamics and climate science
- Trust & Technology Initiative - interesting events
- University of Cambridge Conservation Research Institute (UCCRI)
- bld31
Note that ex-directory lists are not shown. |
## Other listsAll Talks (aka the CURE list) Hardware for Machine Learning Structural Biology Monday Seminars## Other talksSustainability 101: how to frame it, change it and steer it My ceramic practice, and Moon Jars for the 21st century Cosmology and Astrophysics from CMB Measurements Developing joint research between a UK university and and INGO on disability and education: opportunities and challenges St Catharine’s Political Economy Seminar - ‘Global Imbalances and Greece's Exit from the Crisis’ by Dimitrios Tsomocos MicroRNAs as circulating biomarkers in cancer |