Research Interaction Team Website
Applied Partial Differential Equations
Spring 2015

Weekly Meetings: 3:00pm - 3:50pm Mondays in MTH 1311
Team Directors: Jacob Bedrossian (jacob"at"cscamm) Maria Cameron (cameron"at"math)

Sandra Cerrai (cerrai"at"math) Manoussos Grillakis (mng"at"math)

Pierre-Emmanuel Jabin (pjabin"at"math)

Doron Levy (dlevy"at"math) Matei Machedon (mxm"at"math)

Dionisios Margetis (dio"at"math) Antoine Mellet (mellet"at"math)

Eitan Tadmor (tadmor"at"cscamm) Konstantina Trivisa (trivisa"at"math)

Tentative Schedule

Organizational Meeting, 3:00pm Monday, 26 January in MTH 1311

RIT Related Local Activities


RIT Participants

Faculty:
 
Stuart Antman, Jacob Bedrossian Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Postdocs: Changhui Tan,
Students:
 
Ross Adelman, Josh Ballew, Matias Delgadino, Stefan Doboszczak, Siming He, Elif Kuz, Weilin Li, Chunting Lu, Martin Molina,
Mazier Raissi, Samuel Punshon-Smith, Scott Smith, Joshua Schneider, Colleen Stock, Luyu Sun, Zhenfu Wang, Ming Zhong

Updated 26 January 2015

RIT Plan

Research Focus: We will study mathematical aspects of applied partial differential equations. These might include well-posedness, long-time behavior, attractor dynamics, stability of coherent structures, asymptotic limits, and the relationship between chaos and stochasticity. (Presentations from past semesters are listed below.)

Graduate Prerequisites: Analysis (Math 630), or PDEs (Math 673), or ODEs (Math 414 or 670), or numerics (AMSC 666 or 660), or probability (STAT 600). Some knowledge of partial differential equations would be useful. Permission of a Team Director.

Undergraduate Prerequisites: Advanced calculus (Math 410) and differential equations (Math 246). Any of the following are useful but not required: complex variables (Math 463), ODE (Math 414), PDE (Math 462), computation (AMSC 460 or AMSC 466). Permission of a Team Director.

Graduate Program: Team members will make presentations either on readings of fundamental papers or book chapters, or on their own analytical and/or numerical investigations. When appropriate, these may be developed into more formal presentations for seminars, conferences, or publication. Team members will be asked to help mentor more junior team members.

Undergraduate Program: Same as above, as appropriate to the background of the student.

Credit: Students can participate without signing up for credit. Students who sign up for credit typically take one credit; they are expected to attend regularly and to make one presentation. Students who sign up for two credits are expected to attend regularly and to either make three presentations or make one presentation and produce a related written report or project. This last option has been used by AMSC students to prepare for their oral candidacy exam; the written part becomes their AMSC Candidacy Prospectus, and their presentation becomes practice for their oral exam. Students who sign up for three credits will be expected to attend regularly, to make three presentations, and to produce a related written report or project.

Work Schedule: Meetings will be held weekly.



RIT Activity in Past Semesters

Topics Covered During Fall 2014

RIT Participants

Faculty:
 
Stuart Antman, Jacob Bedrossian Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Postdocs: Changhui Tan, Magalis Tournus
Students:
 
Ross Adelman, Josh Ballew, Matias Delgadino, Stefan Doboszczak, Siming He, Elif Kuz, Weilin Li, Chunting Lu, Martin Molina,
Mazier Raissi, Samuel Punshon-Smith, Scott Smith, Luyu Sun, Zhenfu Wang, Ming Zhong

Topics Covered During Spring 2014

RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor Konstantina Trivisa
Visitors: Spyros Kamvissis
Postdocs: Thomas Rey
Students:
 
Ross Adelman, Josh Ballew, Matias Delgadino, Stefan Doboszczak, Siming He, Elif Kuz, Weilin Li, Chunting Lu, Martin Molina,
Kanna Nakamura, Mazier Raissi, Samuel Punshon-Smith, Scott Smith, Luyu Sun, Changhui Tan, Zhenfu Wang, Ming Zhong

Topics Covered During Fall 2013

RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor
Postdocs: Thomas Rey
Students:
 
Ross Adelman, Josh Ballew, Matias Delgadino, Stefan Doboszczak, Siming He, Elif Kuz, Weilin Li, Chunting Lu, Martin Molina,
Kanna Nakamura, Mazier Raissi, Samuel Punshon-Smith, Scott Smith, Luyu Sun, Changhui Tan, Zhenfu Wang, Ming Zhong

Topics Covered During Spring 2013

Spring 2013 RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Visitor: Yongyong Cai
Postdocs: Roman Andreev, Sebastien Motsch, Thomas Rey
Students:
 
 
Josh Ballew, Matias Delgadino, Stefan Doboszczak, Akira Horiguchi, Wenqing Hu, Chunting Lu, Megan Magnoni,
Ioannis Markou, Kanna Nakamura, Sam Punshon-Smith, Alexey Stepanov, Nathan Suberi, Changhui Tan,
Ignacio Tomas, Ming Zhong

Topics Covered During Fall 2012

Fall 2012 RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Students:
 
Josh Ballew, Matias Delgadino, Stefan Doboszczak, Wenqing Hu, Elif Kuz, Chunting Lu,
Kanna Nakamura, Joshua Parker, Sam Punshon-Smith, Luyu Sun, Changhui Tan, Jinxin Xue, Dongmian Zou

Topics Covered During Spring 2012

Spring 2012 RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore,
Doron Levy, Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Postdocs: Hantaek Bae, Sebastien Motsch
Students:
 
Josh Ballew, Xuwen Chen, Matias Delgadino, Stefan Doboszczak, Chen Dong, Chunting Lu,
Ioannis Markou, Changhui Tan, Matthew Temba

Topics Covered During Fall 2011

Fall 2011 RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, Pierre Emmanuele Jabin, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe
Postdocs: Hantaek Bae, Trygve Karper, Sebastien Motsch, Abner Salgado
Students:
 
Josh Ballew, Xuwen Chen, Chunting Lu, Ioannis Markou, Kana Nakamura, Ian Schoch, Funing Shi, Douglas Ulrich,
Ed Yasutake, Ding Zi, Ming Zong

Topics Covered During Spring 2011

Spring 2011 RIT Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, David Levermore, Doron Levy,
Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe
Postdocs: Hantaek Bae, Trygve Karper, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan
Students: Josh Ballew, Xuwen Chen, Chunting Lu, Ioannis Markou

Topics Covered During Fall 2010

Fall 2010 Participants

Faculty:
 
Stuart Antman, Maria Cameron, Sandra Cerrai, Manoussos Grillakis, David Levermore, Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe
Postdocs: Suleyman Ulusoy
Students: Josh Ballew, Ariel Hafftka, Ioannis Markou, Kanna, Nakamura, Changhui Tan, Dan Weinberg

Topics Covered During Spring 2010

Spring 2010 Participants

Faculty:
 
Stuart Antman, Sandra Cerrai, Manoussos Grillakis, David Levermore, Doron Levy,
Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe
Visitors: Animikh Biswas
Postdocs: Hantaek Bae, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan
Students: Brent Baccala, Xuwen Chen, Ioannis Markou

Topics Covered During Fall 2009

Fall 2009 RIT Participants

Faculty:
 
Stuart Antman, Sandra Cerrai, Manoussos Grillakis, David Levermore, Doron Levy, Matei Machedon,
Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Athanasios Tzavaras, Peter Wolfe
Visitors: Animikh Biswas, J.T. Halbert, Jae Ryong Kweon
Postdocs: Hantaek Bae, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan
Students: Chungting Lu, Ioannis Markou, Karl Schmitt, Rongrong Wang

Topics Covered During Spring 2009

Spring 2009 RIT Participants

Faculty:
 
Stuart Antman, Sandra Cerrai, Manoussos Grillakis, David Levermore,
Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa
Postdocs: Arthur Cheng, Weiran Sun
Students: Avanti Athreya, Cynthia Bossard, J.T. Halbert, Ioannis Markou, Hyejin Kim, Karl Schmitt, Konstantinos Spiliopoulos

Topics Covered During Fall 2008

Fall 2008 RIT Participants

Faculty: Stuart Antman, Sandra Cerrai, David Levermore, Konstantina Trivisa, Athanasios Tzavaras
Postdocs: Arthur Cheng, Weiran Sun
Students: Avanti Athreya, J.T. Halbert, Ioannis Markou, Hyejin Kim, Alexey Miroshnikov, Konstantinos Spiliopoulos