Nonlocal Dynamics: Theory, Computation and Applications

NSF/CBMS Regional Conference in the Mathematical Sciences (Supported by NSF)

June 4 -- 9, 2017, Chicago, USA

Department of Applied Mathematics
Illinois Institute of Technology
Chicago, Illinois 60616, USA

Principal Lecturer: Qiang Du, Columbia University

Organizers: Jinqiao Duan ( & Xiaofan Li (

Conference Themes: 

Various complex systems in engineering and science are under long range or nonlocal interactions. There is a growing recognition of a role for including nonlocal effects in better modeling these systems. As a result, nonlocal partial differential equations are appropriate mathematical models for certain optimal control systems, dislocation dynamics in crystals, porous media flows, anomalous dffusion of particles in fluids, and many other systems. Nonlocal effects and long range diffusion also occur in the cell density evolution in certain biological processes, such as embryological development. In order to better understand nonlocal engineering and scientific systems, we must understand the properties of nonlocal equations. This conference brings a top mathematician as the principal lecturer, together with experts and newcomers from relevant mathematical and scientific communities, to learn, examine and investigate theoretical and computational issues in this subject.

Nonlocal partial differential equations are macroscopic models for complex systems under long range interactions. They have led to many mathematically challenging questions at the interface of analysis, computation, stochastic analysis and partial differential equations. To realize the full power of nonlocal equations as mathematical models for complex systems, analysis and numerical approximations are crucial. This conference aims to summarize the past achievements in this subject, and discuss future research directions. It further stimulates research in the development of analytical, dynamical and computational tools for nonlocal models and their applications. The Principal Lecturer for this conference is Professor Qiang Du at Columbia University. The conference consists of ten lectures by Qiang Du, together with supplemental presentations by a few experts, round table discussions, and an open problems session. The participants include graduate students, postdocs, junior people and experts from regional and other institutions.

The proposed lecture series aims to crystalize the foundational developments in the field of nonlocal dynamics and set the stage for an explosion of new results that will bring the field to maturity in the coming decade. The above issues are closely related and will all be handled in the lectures. 

Confirmed Speakers:

Qiang Du, Columbia University, Main Conference Lecturer

Tadele Mengesha, The University of Tennessee, Knoxville

Pablo Seleson, Oak Ridge National Laboratory

Luis Silvestre, The University of Chicago

Pablo Raul Stinga, Iowa State University

Xiaochuan Tian, Columbia University

Lorenzo Toniazzi, The University of Warwick

Hong Wang, University of South Carolina


To apply: Please click Registration Page.  The conference, funded by the National Science Foundation, could provide support for local expenses, and limited domestic travel, for approximately 25 participants. Requests for support will be considered as long as funds remain available. Junior mathematicians, graduate students and all scientists from underrepresented groups are particularly encouraged to apply. To apply for finiancial support, please indicate in the registration page and send your CV, cover letter and have your adviser send a reference letter to Zhuan Cheng (

Program: (Click here to view entire conference program.)

June 5–9







Coffee and Registration 

Coffee and Registration 





Du, Lec 1 Overview of nonlocal models  

Mengesha, Lec 3 Variational analysis of nonlocal systems related to peridynamics  

Du, Lec 5 Numerical approximations of nonlocal models-II  

Tian, Lec 7 Local and nonlocal coupling II  

Du, Lec 9 Nonlocal phase field and nonlocal conservation laws 


Du, Lec 2 Examples of nonlocal models  

Du, Lec 4 Numerical approximations of nonlocal models-I  

Tian, Lec 6 Local and nonlocal coupling I  

Du, Lec 8 Nonlocal gradient and nonlocal in time dynamics  

Du, Lec 10 Peridynamics for brittle fracture, open questions 








Wang, Title: TBA 

Silvestre, Title: Nonlocal equations and the Boltzmann equation  

Seleson, Anisotropic bondbased peridynamic models  

Toniazzi, Probabilistic solutions of fractional differential equations for generalized Caputo-type operators  

Coffee and Discussion  








Coffee and Discussion 

Stinga, Heat semigroups, fractional Laplacians and applications 

Mengesha, Mulitiscale analysis of linearized nonlocal models  

Coffee and Discussion 

Coffee and Discussion 


Coffee and Discussion 

Coffee and Discussion 

Coffee and Discussion 

Coffee and Discussion 

Coffee and Discussion 

Lecture Notes:

SIAM or AMS will publish a monograph based on the principal lectures.

Conference Venue:

All conference lectures will be held in John T. Rettaliata Engineering Center Room 104(Crawford Auditorium), on the Mies campus of the Illinois Institute of Technology (IIT), Chicago. Please see the IIT campus map here.

In addition to the main lectures by Professor Qiang Du, there will be a few other presentations by experts in this field.


Connection: IIT-Connect

Login: iit-event

Password: Event772016!

Food on or near Campus:

MTCC Cafeteria, 3201 S State St Chicago, IL 60616 (on campus)

Jimmy Johns, 3506 South State Street, Chicago, IL 60616 (on campus)

Starbucks, 3506 S. State Street, Chicago, IL 60616 (on campus)

New Furama Restaurant, 2828 S Wentworth Ave, Chicago, IL 60616 (off campus, walking distance)



A block of rooms has been reserved at QUARTERS CLUB HOTEL, CENTRAL LOOP, where we expect that most participants will stay. All the partcipants could call the hotel(Phone number:1-203-905-2100) with the group discount code CBM604 or reserve your room via the link here before May 4th,2017(The block will expire after then). Participants wishing to use other accommodations can find a list of area hotels on the web page of the Chicago Visitor's Bureau.


Travel and Maps:

Chicago is served by O'Hare International Airport, Midway Domestic Airport, Amtrak and Greyhound/Swallows Bus Lines.

IIT’s Mies campus  is located four miles north of the University of Chicago and 20 miles south of Northwestern University. The RE Building (which houses the Applied Math Department) is at the intersection of State and 32nd streets.

Maps are available for IIT’s Location, IIT’s Mies Campus (where the RE building is located), and the city of Chicago. Note that the RE building used to be called the E1 building, and some signs may not be updated yet.

Coming from the Midway Airport (in the west):

By train: Please see the map for trains at

By car: Take on Cicero Avenue north and get to I-55 north.

Take I-55 north (sort of east) towards Chicago; get off at 292B to I-90 South towards Indiana.

On I-90, drive about 0.5 mile and get off at Exit 54 (I think) towards 31st street.

Turn left/east on 31st street and drive 0.25 mile and you are on IIT. Turn right (south) to State street. You are on campus!

Coming from the O'Hare International Airport (in the North):

By train: Please see the map for trains at It is $1.50 per ride.

At the airport take the Blue Line train towards Chicago City; Get off the Blue Line train at Clark Street Station and change to Green Line train towards 63rd Street (South); get off the Green Line train at the "35-Bronzville-IIT" Station.

You are now on IIT campus.

By car: From the O'Hare Airport, take I-190 east and then I-90 south. On I-90 drive about 20 mile and get off at Exit 54 towards 31st street.

Turn left/east on 31st street and drive 0.25 mile and you are on IIT. Turn right (south) to State street. You are on campus!

Coming from the North:

If you come from I-90/I-94 (Dan Ryan Expressway), take Exit 54 towards 31st Street.You would turn left to 31st Street to IIT campus. But in Spring 2002, 31st Street is closed for construction. So after you get off at Exit 54, drive a little more towards 33rd Street. Turn left to 33rd Street and you immediately cross a bridge over I-90/I-94. You are now on IIT campus (and you will see IIT's two oldest red buildings).

Continue to drive 100 yards on 33rd Street and turn left to State Street. Drive 100 yards on 33rd Street and turn right to 32nd Street and enter the Metered Visitor Parking Lot.

If you come from Lakeshore Drive (Route 41), take exit at 31st Street/IIT. Then turn right to 31st Street and drive for about 1 mile. You will pass Martin Luther King Drive, Indiana Street, Michigan Street and then State Street. You are now at IIT.

Turn left to State Street, and then turn left on 32nd Street to enter the Metered Visitor Parking Lot.

Coming from South:

Take Lakeshore Drive North (or Route 41 North) and then take exit at 31st Street/IIT and then turn left and drive on 31st Street for about 1 mile. You will pass Martin Luther King Drive, Indiana Street, Michigan Street and then State Street.

You are now at IIT. Turn left to State Street, and then turn left on 32nd Street to enter the Metered Visitor Parking Lot. 


Local Transportation:

Local mass transportation is available via CTA trains and CTA/ Pace Buses.


Place/ Person to find first:

The Applied Mathematics Department office is in the RE building, Room 208. Tel: 312-567-8980.

J. Duan's office is also in the RE building, Room 115. Tel: 312-567-5335.



A Metered Visitor Parking Lot is located at 32nd Street and State Street, on the east side of State Street, directly across the street from the RE Building. If you have trouble finding a Visitor Parking space, just park in any of the IIT parking lots and we will come out to help re-park your car. We can also help you with some coins!



In the month of June, the Average High Temperature is 81°F (27°C), Average Low Temperature is 57°F (14°C), and Average Precipitation is 3.6". As conference time draws near, you might wish to check with, enter area code 60616, for an actual forecast.



Please address all inquiries to the conference organizers.

Conference organizers:Jinqiao Duan ( & Xiaofan Li (

Conference e-mail: zhuancheng3(

Conference web-page:

Group Photo



This research conference is mainly financially supported by the National Science Foundation through a pending grant from DMS. The Department of Applied Mathematics at IIT has generously agreed to host this conference.




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