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Center for           Nonlinear Analysis
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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 Giovanni Leoni. The other permanent members of the CNA are Gautam Iyer, David Kinderlehrer, Robert Pego, Dejan Slepčev, Shlomo Ta'asan, and Noel Walkington.

Applications are invited for postdoctoral positions at the Department of Mathematical Sciences in Carnegie Mellon University, partly funded by the NSF PIRE award Science at the Triple Point Between Mathematics, Mechanics and Materials Science. Processing of applications will begin on December 15, 2012.
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"Topics in Nonlinear PDEs and Calculus of Variations, and Applications in Materials Science"
Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA, May 30–June 7, 2013
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Evolution Problems for Material Defects: Dislocations, Plasticity, and Fracture
SISSA, Trieste (Italy), September 30-October 4, 2013
Organizers: Gianni Dal Maso, Antonio DeSimone, Irene Fonseca, and Felix Otto
Poster...
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Dates: May 28 - July 16, 2013
Carnegie Mellon University will offer a summer program for twelve undergraduates considering research careers in mathematical sciences. Students who have finished their sophomore or junior years and who have strong academic records will be given preference. Among applicants who are otherwise comparable, admission to the program will be designed to create an ethnically diverse group of participants. Applications from women and minorities are especially encouraged.
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Course and Syllabus Design
Thursday, April 11, 4:30-6:30, Wean Hall 7218
Teaching Problem Solving
Thursday, April 25, 4:30-6:30, Wean Hall 7218

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Dates: June 21-29, 2012
Place: Institute for Mathematics and its Applications (IMA), Minneapolis
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PIRE