# Seminars & Colloquia Calendar

## Renormalized solutions for Boltzmann equation, Part II

#### Hamidreza Mahmoudian - Rutgers University

Location: ** Hill 703**

Date & time: Wednesday, 17 October 2018 at 11:00AM - 12:30PM

## Abstract: The Boltzmann equation describes the evolution of ideal gases, using a "correction" to the free transport equation as a result of molecular interactions. This correction is a second order integral operator, with a singularity in its definition (essentially because of infinite range molecular potentials) that makes the meaning of the equation unclear to begin with. To deal with the difficulties caused by nonlinearity, DiPerna and Lions introduced renormalized solutions. They, among other things, proved the first global existence result for a modified Boltzmann equation without the singularity. The first part of my talk will be a brief review of the equation and DiPerna-Lions theory, and in the second part I talk about some (relatively) new machinery devised by Villani et al. Their estimates allow an adaptation of renormalization techniques which is capable of dealing with the singular case.

R. Shapiro Organizer's Page

Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Brooke Ogrodnik, Website

Robert Dougherty-Bliss and Doron Zeilberger --> homepage

Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Quentin Dubroff Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis Organizer's Webpage

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Fioralba Cakoni Seminar webpage

Ebru Toprak, Organizer

Organizer's webpage: Organizer's webpage

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