Colloquium – Xiaobing Feng, University of Tennessee, Knoxville

Title: Phase field method for geometric moving interface problems and their numerical approximations Abstract:  In this talk I shall first give a brief introduction to the phase field method for general geometric moving interface problems. The focus will be on presenting its idea, formulation,and relationship to other methods for moving interface problems such as the […]

Read More

Analysis Seminar – Chang Yu, University of Florida

Title: Global solutions of the compressible Navier-Stokes equations Abstract : In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not necessary for […]

Read More

Analysis Seminar – Chenchen Mou, UCLA

Title: Weak Solutions of Mean Field Game Master Equations. Abstract: In this talk we study master equations arising from mean field game problems, under the crucial monotonicity conditions. Classical solutions of such equations require very strong technical conditions. Moreover, unlike the master equations arising from mean field control problems, the mean field game master equations are […]

Read More

Analysis Seminar – Kabe Moen (University of Alabama)

Title: Connections between commutators and weighted inequalities Abstract: I will cover the Cauchy integral approach to the boundedness of commutators of Calderon-Zygmund operators and BMO functions.  I spoke about this approach and proved the basic commutator theorem of Coifman-Rochberg-Weiss in the fall of 2017.  In this talk I will go over some powerful extensions and […]

Read More

Colloquium – Jianlin Xia (Purdue University)

Topic:  Fast Solutions of Large Linear Systems and Eigenvalue Problems by Exploring Structures Abstract: Solving large linear systems and eigenvalue problems remains to be the key computational tasks in scientific computing, data processing, and engineering simulations. Practical numerical problems often introduce various structures into the matrix representations. In this talk, we show the existence of […]

Read More

Analysis Seminar – David Cruz-Uribe (University of Alabama)

Title: Matrix Ap weights, degenerate Sobolev spaces, and mappings of finite distortion of finite distortion.

Read More

Applied Math Seminar – Sergei V. Gleyzer, University of Alabama

Title: The Interplay between Deep Learning and Physics Abstract: In my talk, I will discuss the interplay of deep learning and physics. I will focus on both foundational and applied topics, including examples of machine learning applications in high-energy physics. I will discuss interpretability, learning methodology, end-to-end learning, incorporation of physical laws in model building […]

Read More

Analysis Seminar – Simon Bortz (University of Washington)

Title: Sobolev contractivity of the gradient flow maximal function Abstract:  In 2013, Carneiro and Svaiter showed that the heat flow maximal function is contractive in $\dot{W}^{1,2}(\mathbb{R}^n)$ for $W^{1,2}(\mathbb{R}^n)$ functions. In other words, if $K_t$ is the heat kernel then $u_*(x) = \sup_{t > 0} (K_t \ast |f|)(x)$ for some $f \in W^{1,2}(\mathbb{R}^n)$ then $\|\nabla u_*\|_{L^2(\mathbb{R}^n)} […]

Read More

Applied Math Seminar – Duy Nguyen (Marist College)

Title : Nonparametric density estimation by B-spline duality Abstract: In this talk, we propose a new nonparametric density estimator derived from the theory of frames and Riesz bases. In particular, we propose the so-called bi-orthogonal density estimator based on the class of B-splines and derive its theoretical properties, including the asymptotically optimal choice of bandwidth. […]

Read More