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Welcome to the Center for Nonlinear Analysis

The Center for Nonlinear Analysis (CNA) is an international resource for research and training in applied mathematics. Established in 1991 with ARO and NSF funding, it continues with major support from the NSF.

The goals of the CNA are:

  • To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology, to highlight emerging areas in mathematics deriving from applications, and to develop new applications of mathematical sciences;
  • To maintain its position as a worldwide asset for the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering.

Main areas of research at the CNA are Calculus of Variations, Partial Differential Equations, Numerical Analysis and Scientific Computation. A primary focus for CNA involvement in applications is in materials, and increasingly in the life sciences.

The CNA's activities include:

  • a RTG (Research Training Grant) graduate student training program;
  • PIRE: Science at the triple point between mathematics, mechanics and materials science ;
  • two and three-year postdoctoral training programs;
  • working groups and topics courses targeted to advanced graduate students and postdoctoral fellows;
  • a visitors program;
  • a research publications series;
  • organization of conferences and workshops;
  • organization of Summer Schools targeted to advanced PhD students, postdoctoral fellows and other young researchers;
  • a major internationalization program emphasizing the creation of collaborative research networks;
  • the Summer Undergraduate Applied Mathematics Institute, under the direction of Deborah Brandon, which targets minorities and women with the goal of recruiting them to pursue graduate study in applied mathematics.

The Director of the CNA is Irene Fonseca, and the Associate Director is Dejan Slepčev. The other permanent members of the CNA are Amit Acharya, Keenan Crane, Kaushik Dayal, Yu Gu, Gautam Iyer, David Kinderlehrer, Giovanni Leoni, Robert Pego, Hayden Schaeffer, Shlomo Ta'asan, Ian Tice, Noel Walkington, and Franziska Weber.

With profound sadness we acknowledge the loss of Jim Greenberg on August 3, 2018.

James Greenberg

Jim received his Ph.D. from Brown in 1966, working under the supervision of Mort Gurtin. His research covered an especially broad range of topics in applied mathematics, including wave propagation in continuous media, hyperbolic conservation laws, traffic flow, phase field models, viscoelastic flows, and cellular automata. He served as department head from 1995 to 2002.

Jim was an active member of the CNA until the end, and the CNA seminars will never be the same without his presence.

A Conference in Memory of Jim Greenberg will be held on November 27, 2018 in the Rachel Mellon Walton room of the Posner Hall.
Organizers: Irene Fonseca and David Kinderlehrer

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Conference of the Abel Prize Committee
Carnegie Mellon University
Rashid Auditorium 4401 Gates Hillman Center
January 11, 2019
Organizers: Irene Fonseca and Dejan Slepčev

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Event funded by The Norwegian Academy of Science and Letters

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Advanced Materials
Kent State University, Kent, OH
February 9-10, 2019
Organizers: Peter Palffy-Muhoray, Xiaoyu Zheng, Irene Fonseca, Dejan Slepčev

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Mathematical Models For Pattern Formation
Center for Nonlinear Analysis
Carnegie Mellon University
March 8-10, 2019
Organizers: Kaushik Dayal, Irene Fonseca, Giovanni Leoni

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Wednesdays 4:30pm-7:30pm
Wean Hall 7218: Aug. 30, 2017 and Sept. 6, 2017
Wean Hall 7201: Sept. 13, 2017 to Dec. 13, 2017
Instructor: Dr. Mehrdad Massoudi
This course provides an introduction to continuum mechanics. The main objective of the course is to understand mathematical modeling of solid-like or fluid-like materials.
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