|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
On bounded velocity/bounded vorticity solutions to the incompressible 2D Euler equations
If you have a question about this talk, please contact Mustapha Amrani.
Mathematics for the Fluid Earth
In 1963 V. I. Yudovich proved the existence and uniqueness of weak solutions of the incompressible 2D Euler equations in a bounded domain assuming that the vorticity, which is the curl of velocity, is bounded. This result was later extended by A. Majda to vorticities which are bounded and integrable in the full plane. Further extensions of this result have been obtained, yet always assuming some decay of vorticity at infi nity. In a short note in 1995, Philippe Serfati gave an incomplete, yet brilliant, proof of existence and uniqueness of solutions to the 2D Euler equations in the whole plane when the initial vorticity and initial velocity are bounded, without the need for decay at in finity. In this talk I will report on work aimed at completing and extending Serfati’s result to flows in a domain exterior to an obstacle. This is joint work with David Ambrose (Drexel University), James P. Kelliher (University of California, Riverside) and Milton C. Lopes Filho (Federal University of Rio de Janeiro).
This talk is part of the Isaac Newton Institute Seminar Series series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsImaging and Mathematics UK-Japan network for high-speed microscopy in cells FERSA Lunchtime Sessions
Other talksMarvellous Mammillarias Security Measures or Consolidating Insecurity Transnationally?Youth Surveillance and Protest in the Global City What is nonlinear SEA good for? The cost of saving nature: how much and is it a price worth paying The natural wealth of nations: ecology and agriculture in nineteenth century Tamilnad The Drama of Intellectual Life: Performativity in the Study of Ideas