April 9, 2024
11:30AM - 12:20PM
MW 154
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2024-04-09 11:30:00
2024-04-09 12:20:00
Properties of the effective Hamiltonian and homogenization of the Hamilton-Jacobi equation
Speaker: Son Tu (Michigan State University)Title: Properties of the effective Hamiltonian and homogenization of the Hamilton-Jacobi equationAbstract: The homogenization of Hamilton-Jacobi equations in the periodic setting was pioneered by Lions, Papanicolaou, and Varadhan in the 1980s. However, understanding the intricate properties of the effective Hamiltonian and its impact on the homogenization limit across various settings remains a substantial open problem. In this presentation, we will discuss recent developments that highlight a connection between this phenomenon and weak KAM theory on a qualitative level, as well as present some quantitative results.
MW 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2024-04-09 11:30:00
2024-04-09 12:20:00
Properties of the effective Hamiltonian and homogenization of the Hamilton-Jacobi equation
Speaker: Son Tu (Michigan State University)Title: Properties of the effective Hamiltonian and homogenization of the Hamilton-Jacobi equationAbstract: The homogenization of Hamilton-Jacobi equations in the periodic setting was pioneered by Lions, Papanicolaou, and Varadhan in the 1980s. However, understanding the intricate properties of the effective Hamiltonian and its impact on the homogenization limit across various settings remains a substantial open problem. In this presentation, we will discuss recent developments that highlight a connection between this phenomenon and weak KAM theory on a qualitative level, as well as present some quantitative results.
MW 154
Department of Mathematics
math@osu.edu
America/New_York
public
Speaker: Son Tu (Michigan State University)
Title: Properties of the effective Hamiltonian and homogenization of the Hamilton-Jacobi equation
Abstract: The homogenization of Hamilton-Jacobi equations in the periodic setting was pioneered by Lions, Papanicolaou, and Varadhan in the 1980s. However, understanding the intricate properties of the effective Hamiltonian and its impact on the homogenization limit across various settings remains a substantial open problem. In this presentation, we will discuss recent developments that highlight a connection between this phenomenon and weak KAM theory on a qualitative level, as well as present some quantitative results.
