Past Probability Seminars Spring 2020: Difference between revisions
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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 15:10, 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