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23. Pauli Colloquium on "Fusion: past and future of an energy source":
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Topics: 1) Coffee & Cake 2) 15h15 : “Introduction” by Norbert J. Mauser (WPI c/o U. Wien) 3) 15h20 – 16h15 : Uriel Frisch (Lab. J.L. Lagrange, Observatoire de la Côte d'Azur, CNRS, Nice) : «Fusion: past and future of an energy source» 3) 16h15 - : “open discussions” with drinks & sandwiches | ||
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Workshop on "Inertial Confinement Fusion" |
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22. Pauli Colloquium on "Mathematics for Climate research":
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Topics: 1) 15h30 : “Introduction” by Norbert J. Mauser (WPI c/o U. Wien) 2) 15h40 – 16h30 : Rupert KLEIN (FU Berlin) : «Mathematics, a key to Climate Research» 3) 16h30 - : “open discussions” with drinks & sandwiches | ||
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21. Pauli Colloquium & Kolloquium d. Fak. f. Mathematik:
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Pauli Symposium on "Asymptotic Analysis & Geophysical flows", part 3
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Topics: Boualem KHOUIDER (U. Victoria, Canada) "Stochastic lattice systems for climate models" Abstract:Tropical weather and climate variability consists of numerous circulation and cloud systems that occur on a hierarchy of temporal and spatial scales ranging from the scale of the convective cloud of 1km to 10 km to planetary intraseasonal disturbances such as the Madden Julian oscillation (MJO) and monsoon dynamics. These systems interact nontrivially with each other and with the global dynamics. Unfortunately, despite most recent improvements, state-of-the-art climate models represent very poorly these systems and their mutual interactions and their interactions with global dynamics as well as the rainfall distributions in the tropics. The representation of clouds and rainfall variability in the tropics is still one of the major uncertainties in the climate models used for the IPCC climate projections. The culprit is believed to be the poor representation of clouds and organized convection by the underlying subgrid models used to represent convection and clouds, which are deterministic in nature, are based on the quasi-equilibrium theory, and as such fail to represent the often chaotic variability due to the interactions of various cloud types with each other and with the environment. Instead, we use a stochastic lattice interacting particle system to represents these clouds and associated interactions using observations as a guiding principle. This leads to a better representation of the afore mentioned tropical modes of variability including the MJO and monsoon dynamics. | ||
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Pauli Symposium "Asymptotic Analysis and Geophysical Flows"
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Topics: 10h15 coffee & cake 10h25 Norbert J. Mauser: introduction A) 10h30 – 11h20 : Rupert KLEIN (FU Berlin) "Asymptotic analysis: What is it and what is it good for?" Abstract: famous mathematicians, some of them practitioners themselves, have associated "asymptotics" with the "dark arts", "inventions of the devil", "a toolbox of tricks for special cases", and the like. In 40 years of experience with it I have come to a broader perspective, and that is the topic of this lecture. Most and foremost, I view Mathematics as the "science of structure", and I will argue why this leads me to consider asymptotics to be quite a systematic mathematical endeavour. I will highlight that asymptotics is found all over the place, from the applied mathematics of practical engineering to the award-winning work of a recent Fields medalist, and that the common denominator is the search for structure and understanding. Seen this way, the multi-faceted nature of asymptotics comes out as a necessity rather than as a reason for mockery. An asymptotic theory of tropical storms that is under development in my group will provide examples to go with my elaborations. B) 11h20 – 12h10 : Edriss TITI (U.Cambridge, Texas A&M, Weizmann) “Mathematical Analysis of Geophysical Models” Abstract: We present recent results concerning the global regularity of certain geophysical models. In particular, the three-dimensional Planetary Geostrophic and the Primitive Equations (PE) of oceanic and atmospheric dynamics with various anisotropic viscosity and turbulence mixing diffusion. However, in the non-viscous (inviscid) case it can be shown that, with or without rotation, the PE are linearly and nonlinearly ill-posed in the context of Sobolev spaces, and that there is a one-parameter family of initial data for which the corresponding smooth solutions of the primitive equations develop finite-time singularities (blowup). However, the PE will be shown to be well-posed in the space of real analytic functions, and we will discuss the effect of rotation on prolonging the life-span of analytic solutions. Capitalizing on the above results, we provide rigorous justification of the derivation of the viscous PE of planetary scale oceanic dynamics from the three-dimensional Navier-Stokes equations, for vanishing small values of the aspect ratio of the depth to horizontal width. Specifically, we can show that the Navier-Stokes equations, scaled appropriately by the small aspect ratio parameter of the physical domain, converge strongly to the primitive equations, globally and uniformly in time, and that the convergence rate is of the same order as the aspect ratio parameter. | ||
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Workshop on "Seamless numerics for geophysical flow models" |
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13th Plasma Kinetics Working Group Meeting (external website ) |
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