Barbara Prinari

   

Associate Professor


Department of Mathematics
University of Colorado
Colorado Springs, CO 80933-7150

Office: EAS 278
Telephone: (719) 255-3522
Fax: (719) 255-3605
Email: bprinari@uccs.edu


   

 
 


Research

My primary research area deals with nonlinear waves and coherent structures, an area that combines analysis, applied mathematics, and concrete physical applications.  My research activity mainly focuses on the inverse scattering transform (IST) for continuous and discrete integrable systems, a mathematical techinque that allows to solve the initial value problem for certain nonlinear equations. I have also addressed issues of solvability for the nonlinear Schrödinger equation, by identifying function spaces in which the direct and inverse problems are well posed.  I have co-authored a monograph on nonlinear Schrödinger systems. Over the past decade, I have worked and published on mathematical techniques for solving the initial value problem for nonlinear 2+1 dimensional PDEs with potentials that do not decay at spatial infinity. Most recently, I have been working on the IST for multicomponent nonlinear Schrödinger systems with nonvanishing boundary conditions.

Classes

  • Math 135 - Calculus I (Fall 2009)
  • Math 445 - Complex Variables (Spring 2010)
  • Math 135 - Calculus I (Spring 2010)
  • Math 136 - Calculus II (Fall 2010)
  • Math 313 - Introduction to Linear Algebra (Fall 2010)
  • Math 340 - Introduction to Differential Equations (Summer 2011)
  • Math 136 Sec. 001 - Calculus II (Fall 2011)
  • Math 136 Sec 002 - Calculus II (Fall 2011)
  • Math 447/547 - Methods of Applied Mathematics (Fall 2011)
  • Math 340 Sec 001 - Introduction to Differential Equations (Fall 2012)
  • Math 543/643 - Ordinary Differential Equations (Fall 2012)
  • Math 133 - Calculus for Life Sciences (Spring 2013)
  • Math 340 - Introduction to Differential Equations (Fall 2013)
  • Math 447/547 - Methods of Applied Mathematics (Fall 2013)
  • Math 133 - Calculus for Life Sciences (Spring 2014)

Background

  • MS in Mathematics, University of Salento, Italy (2010)
  • PhD in Physics, University of Lecce, Italy (1999)
  • MS in Physics, University of Lecce, Italy (1996)




UCCS Department of Mathematics
University of Colorado
Colorado Springs, CO 80933-7150
(719) 255-3311 (office)
(719) 255-3605 (fax)

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