|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
On a well-tempered diffusion
If you have a question about this talk, please contact ai10.
The classical transport theory as expressed by, say, the Fokker-Planck equation, lives in an analytical paradise but, in sin. Not only its response to initial datum spreads at once everywhere oblivious of the basic tenets of physics, but it also induces an infinite flux across a sharp interface. Attempting to overcome these difficulties one notices that the moment expansion of any of the micro ensembles of the kind that beget the equations of the classical mathematical physics, say the Chapman-Enskog expansion of Boltzmann Eq., if extended beyond the second moment, yields an ill posed PDE (the Pawla Paradox)!
We shall describe mathematical strategies to overcome these generic difficulties. The resulting flux-limited transport equations are well posed and capture some of the crucial effects of the original ensemble lost in moment expansion. For instance, initial discontinuities do not dissolve at once but persist for a while. There is a critical transition from analytical to discontinuous states with embedded sub-shock(s).
This talk is part of the Applied and Computational Analysis series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsEntrepreneurship for a Zero Carbon Society PublicHealth@Cambridge Talks on Category Theory
Other talksEnhancing single-molecule detection with DNA origami nanostructures ANOVA of balanced multi-factorial designs: between subject designs, and single subject studies A Look at the Consequences of Internet Censorship Through an ISP Lens Majorana metals and quantum spin liquids Self-Control and Weakness of Will General Thompson’s Enharmonic Guitar