Past Seminars- Analysis

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  • Changfeng Gui
    Tue Apr 21, 2015
    3:00 pm
    In this talk,  I will present some results on axially symmetric solutions to the Allen-Cahn equation in entire spaces.  In particular,  a  complete branch of axially symmetric entire solutions to the Allen-Cahn equation in $\mathbb{R}^{3}$ will be constructed.  The nodal sets of these solutions behave asymptotically like...
  • Nessim Sibony
    Tue Nov 18, 2014
    3:00 pm
    I will discuss some analogies between the second main theorem in Nevanlinna's theory and results in holomorphic dynamics. The two main examples will be equidistribution results for endomorphisms of $\P^k$ and equidistribution results for singular foliations by Riemann-surfaces in $\P^2$.   This is joint work with T. C. Dinh.
  • David Barrett
    Tue Oct 21, 2014
    3:00 am
    The Webster curvature of a strongly pseudoconvex real hypersurface in C^2 (with respect to the standard pseudo-hermitian structure) is a scalar quantity, invariant under volume-preserving biholomorphic mapping.
  • Joonil Kim
    Tue Oct 14, 2014
    3:00 pm
  • Edriss Titi
    Tue Oct 7, 2014
    3:00 pm
    In this talk I will show the global (in time) well-posedness for the 3D viscous primitive equations of atmospheric and oceanic dynamics for all initial data. Motivated by strong anisotropic turbulence mixing I will also show the global well-posedness of this model with only horizontal viscosity and diffusion. Similar results also hold for the case...
  • Xuan Duong
    Thu Oct 2, 2014
    11:00 am
    Let $\Gamma$ be a graph with a weight $\sigma$. Let $d$ and $\mu$ be the distance and the measure associated with $\sigma$ such that $(\Gamma, d, \mu)$ is a doubling space. Let $p$ be the natural reversible Markov kernel associated with $\sigma$ and $\mu$  and $P$ the associated operator defined by $Pf(x) = \sum_{y} p(x, y)f(y...
  • Lei Ni
    Tue Jun 3, 2014
    3:00 pm
    I shall discuss an entropy functional defined for convex bodies and its related analysis in the study of the large time asymptotics of the Gauss curvature flow. This is a joint work with Pengfei Guan at McGill.