Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Harmonic Analysis and Several Complex Variables Seminar - Valentin Kunz

Valentin Kunz
October 15, 2024
3:00 pm - 4:00 pm
Math Tower (MW) 154

Valentin Kunz
The Ohio State University

Title
Several Complex Variables and the Quarter-Plane Problem: An Overview

Abstract
The 'quarter-plane problem' refers to the boundary value problem which models the interaction of a monochromatic plane-wave, e.g., an acoustic pressure field, with the tip of an infinitely thin corner in three spatial dimensions, e.g., the tip of a turbofan blade. In this talk, we will outline how the theory of several complex variables can help us gain a better understanding of such physical phenomena. We are particularly interested in finding an asymptotic formula for the field observed at a great distance from the quarter-plane, which, in turn, requires knowledge of the singularity structure of some two-complex-variable spectral functions.

For more information on the seminar

Events Filters:

Seminar - Harmonic Analysis and Several Complex Variables