# Difference between revisions of "Past Probability Seminars Spring 2020"

(→Thursday, October 20, TBA, TBA) |
(→Friday, September 16, 11 am Elena Kosygina, Baruch College and the CUNY Graduate Center) |
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The talk will be in Van Vleck 910 as usual. | The talk will be in Van Vleck 910 as usual. | ||

− | Title: | + | Title: '''Homogenization of viscous Hamilton-Jacobi equations: a remark and an application.''' |

+ | |||

+ | Abstract: It has been pointed out in the seminal work of P.-L. Lions, G. Papanicolaou, and S.R.S. Varadhan that for the first order | ||

+ | Hamilton-Jacobi (HJ) equation, homogenization starting with affine initial data should imply homogenization for general uniformly | ||

+ | continuous initial data. The argument utilized the properties of the HJ semi-group, in particular, the finite speed of propagation. The | ||

+ | last property is lost for viscous HJ equations. We remark that the above mentioned implication holds under natural conditions for both | ||

+ | viscous and non-viscous Hamilton-Jacobi equations. As an application of our result, we show homogenization in a stationary ergodic setting for a special class of viscous HJ equations with a non-convex Hamiltonian in one space dimension. | ||

+ | This is a joint work with Andrea Davini, Sapienza Università di Roma. | ||

== Thursday, September 22, TBA, TBA == | == Thursday, September 22, TBA, TBA == |

## Revision as of 09:10, 6 September 2016

# Fall 2016

**Thursdays in 901 Van Vleck Hall at 2:25 PM**, unless otherwise noted.

**
If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu.
**

## Thursday, September 8, Daniele Cappelletti, UW-Madison

Title: TBA

## Friday, September 16, 11 am Elena Kosygina, Baruch College and the CUNY Graduate Center

** Please note the unusual day and time **

The talk will be in Van Vleck 910 as usual.

Title: **Homogenization of viscous Hamilton-Jacobi equations: a remark and an application.**

Abstract: It has been pointed out in the seminal work of P.-L. Lions, G. Papanicolaou, and S.R.S. Varadhan that for the first order Hamilton-Jacobi (HJ) equation, homogenization starting with affine initial data should imply homogenization for general uniformly continuous initial data. The argument utilized the properties of the HJ semi-group, in particular, the finite speed of propagation. The last property is lost for viscous HJ equations. We remark that the above mentioned implication holds under natural conditions for both viscous and non-viscous Hamilton-Jacobi equations. As an application of our result, we show homogenization in a stationary ergodic setting for a special class of viscous HJ equations with a non-convex Hamiltonian in one space dimension. This is a joint work with Andrea Davini, Sapienza Università di Roma.

## Thursday, September 22, TBA, TBA

Title: TBA

## Thursday, September 29, Joseph Najnudel, University of Cincinnati

Title: TBA

## Thursday, October 6, TBA, TBA

Title: TBA

## Thursday, October 13, No Seminar due to Midwest Probability Colloquium

For details, see Midwest Probability Colloquium.

## Thursday, October 20, Amol Aggarwal, Harvard

Title: TBA

## Thursday, October 27, TBA, TBA

Title: TBA

## Thursday, November 3, TBA, TBA

Title: TBA

## Thursday, November 10, TBA, TBA

Title: TBA

## Thursday, November 17, TBA, TBA

Title: TBA

## Thursday, November 24, No Seminar due to Thanksgiving

## Thursday, December 1, TBA, TBA

Title: TBA

## Thursday, December 8, TBA, TBA

Title: TBA

## Thursday, December 15, TBA, TBA

Title: TBA