# Seminars & Colloquia Calendar

## Renormalized solutions for Boltzmann equation

#### Hamidreza Mahmoudian - Rutgers University

Location: ** Hill 703**

Date & time: Wednesday, 10 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.

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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

Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage

Paul Feehan, Manousos Maridakis, 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

Corrine Yap Organizer's webpage

Edna Jones Organizer's webpage

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum

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

Brooke Ogrodnik website

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

Stephen D. Miller

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

Ebru Toprak, Organizer

Organizer: Luochen Zhao

James Holland; Organizer website

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