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The classical Minkowski problem, which asks for the characterization of surface area measure in Euclidean space with Lebesgue measure, largely motivated the development of elliptic PDEs throughout the...
In this talk we will review some recent results on space-time finite and boundary element methods for the wave equation. As a first model problem we consider the inhomogeneous wave equation with zero ...
Can humans endure long-term living in deep space?The answer is a lukewarm maybe, according to a new theory describing the complexity of maintaining gravity and oxygen, obtaining water, developing agri...
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
A team of researchers, including Brown planetary scientist Jim Head, propose using the James Webb Space Telescope to look at five planets in the Venus Zone, a search that could reveal valuable insight...
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will ...
In this talk, I will introduce our recent result on Heintze Karcher type inequalities for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. I will in...
In this talk, we will first introduce a class of Gaussian processes, and prove the quasi-invariant theorem with respect to the Gaussian Wiener measure, which is the law of the associated Gaussian proc...
We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
The moduli space of a smooth manifold X is defined to be the classifying space of its diffeomorphism group. Understanding the cohomology group of this space is important because elements in this group...
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
湖泊代谢(metabolism)指湖泊生物不断进行的光合和呼吸作用,可通过湖泊总初级生产力(GPP)和湖泊总呼吸(RE)量化。水体二氧化碳分压(pCO2)指溶解在水中的二氧化碳(CO2)分子产生的压力,可用来量化量溶解在水中的二氧化碳的量。pCO2与其他参数,如 pH 值、溶解性无机碳和碱度一样,都用来描述水体的无机碳系统(CO2 (aq)、HCO3-、CO32-)的浓度和形态。湖泊pCO2不仅受...
As praise pours in for the images released July 12 from NASA’s new James Webb Space Telescope (JWST) – the next-generation telescope able to peer deeper into the cosmos – Cornell astronomy faculty who...
A rare and persistent rapid-fire fast radio burst source sending out an occasional and informative cosmic ping from more than 3.5 billion light years away – now helps to reveal the secrets of the br...
Grow a tomato inside a square box, and you’ll end up with a square tomato. It’s an experiment that shows clearly how confinement can influence a body’s evolving shape.

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