Informal Analysis Seminar

Welcome

Welcome to the Informal Analysis Seminar! We are a seminar run by graduate students with an emphasis on providing a space for graduate students to give analysis talks. Everyone is encouraged to participate.

Next Week

Speaker: Christopher Bunting

Title: Ergodicity of solutions to the stochastic Navier-Stokes equations

Abstract: The stochastic Navier-Stokes equations has been extensively studied over the past few decades. In this talk, we consider the 2D stochastic Navier-Stokes equations perturbed by an additive noise. We begin by establishing results regarding solutions and provide essential estimates. Using these results, we prove the existence and uniqueness of invariant measure for the solutions of the equations.

Schedule – Fall 2025

Aug 26: Organizational Meeting
Sept 2: Hari Narayanan- Intro to Spectral Theory (Intro to Moises's Talk)
Sept 9: Moises Gomez-Solis- What Is Absolutely Continuous Spectrum and Transport?
Sept 16: Gowri Priya Sunkara- The Elvis Problem with Convex Bifunctions and Shalini Shalini- The Minimal Time Function Under More General Assumptions
Sept 23: Matthew McCoy- Introduction to Ergodic Theory, Chebyshev Polynomial Expansions, and Schur Complements (Introduction to Ken's Talk)
Sept 30: Ken Beard- Momentum Space Algorithm for Electronic Structure of Double-Incommensurate Trilayer Graphene
Oct 7: Bart Rosenzweig (Ohio State University)- Borel Summability in Quantum Theory
Oct 14: Long Teng- Nodal Sets of Harmonic Functions
Oct 21: Laura Kurtz- Stochastic Homogenization
Oct 28: Sanjeet Sahoo- Introduction to Invariant Measures and Ergodicity for Markov Processes (Introduction to Chris's Talk)
Nov 4: Christopher Bunting- Ergodicity of solutions to the Navier-Stokes equations
Nov 11: Phuc Cong Nguyen (LSU)- Capacities, Weighted Norm Inequalities, and non-linear partial differential equations
Nov 18: Anan Saha- Learning of Stochastic Differential Equations
Nov 25: Gustavs Tobiss- Bloch's Theorem and Wannier functions
Dec 2: Han Nguyen- Walker et al: Modelling and Simulation of the cholesteric Landau-de Gennes model

Contact Information

Organizers

Name: Moises Gomez-Solis
Email: mgome29@lsu.edu

Name: Laura Kurtz
Email: lkurtz2@lsu.edu

Faculty Sponsor

Name: Stephen Shipman
Email: shipman@math.lsu.edu