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: [email protected]

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.

• List of Publications

Classes

• Math 1350 - Calculus I (Fall 2009)
• Math 4450 - Complex Variables (Spring 2010)
• Math 1350 - Calculus I (Spring 2010)
• Math 1360 - Calculus II (Fall 2010)
• Math 3130 - Introduction to Linear Algebra (Fall 2010)
• Math 3400 - Introduction to Differential Equations (Summer 2011)
• Math 1360 Sec. 001 - Calculus II (Fall 2011)
• Math 1360 Sec 002 - Calculus II (Fall 2011)
• Math 4470/5470 - Methods of Applied Mathematics (Fall 2011)
• Math 3400 Sec 001 - Introduction to Differential Equations (Fall 2012)
• Math 5430/6430 - Ordinary Differential Equations (Fall 2012)
• Math 1330 - Calculus for Life Sciences (Spring 2013)
• Math 3400 - Introduction to Differential Equations (Fall 2013)
• Math 4470/5470 - Methods of Applied Mathematics (Fall 2013)
• Math 1330 - Calculus for Life Sciences (Spring 2014)
• Math 3400 - Introduction to Differential Equations (Fall 2014)
• Math 4470/5470 - Methods of Applied Mathematics (Fall 2014)
• Math 3400 - Introduction to Differential Equations (Spring 2015)
• Math 3400-780 MathOnline Introduction to Differential Equations (Spring 2015)
• Math 4500 - Complex Variables (Spring 2015)
• Math 5900 - Graduate Seminar in Complex Variables (Spring 2015)
  

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)