Cristina Popovici

Assistant Professor of Mathematics                                                                                                                          
Ph.D., Carnegie Mellon University (2005)

Office: 309C Minard Hall
E-mail: cristina.popovici at ndsu.edu
Office Phone: (701) 231-8104
Fax: (701) 231-7598

RESEARCH INTERESTS: Analysis: Calculus of Variations, Geometric Measure Theory, Partial Differential Equations

PUBLICATIONS:


6. Variational principles in L-infinity with applications to antiplane shear and plane stress plasticity. Journal of Convex Analysis Vol. 18 No. 2 (2011),
pp. 403-416. (with M. Bocea)

5. On the asymptotic behavior of variable exponent power-law functionals and applications. Ricerche di Matematica Vol. 59 No. 2 (2010), pp. 207-238. 
(with M. Bocea and M. Mihailescu)

4. A Gamma-convergence result in nonlinear plate theory. Comm. Appl. Nonlinear Anal. Vol. 16 No. 3 (2009), pp. 51-66.

3. Plane stress polycrystal plasticity as a limiting case of the power-law model via Gamma-convergence.  Int. J. Pure Appl. Math. Vol. 54 No. 4 (2009),
pp. 609-619. (with M. Bocea)

2. Coupled singular perturbations for phase transitions. Asymptotic Analysis Vol. 44 No. 3-4 (2005), pp. 299-325. (with I. Fonseca).

1. A Homogenization Result in the Gradient Theory of Phase Transitions. CNA Report 05-CNA-009 (2005), pp. 1-32. (with I. Fonseca).


PAST TEACHING:


NDSU:

MATH 266 Introduction to Differential Equations - Spring 2011, Fall 2010
MATH 751 Analysis II - Spring 2010
MATH 165 Calculus I - Spring 2010
MATH 750 Analysis I - Fall 2009
MATH 259 Multivariate Calculus - Fall 2009
MATH 451/651 Real Analysis II -
Spring 2009
MATH 166 Calculus II - Spring 2009
MATH 450/650 Real Analysis I - Fall 2008
MATH 165 Calculus I - Fall 2008

MATH 757 Topics in Functional Analysis: Sobolev Spaces - Spring 2008
MATH 265 Calculus III - Spring 2008
MATH 754 Functional Analysis I - Fall 2007
MATH 265 Calculus III - Fall 2007

MATH 764 Calculus of Variations - Spring 2007
MATH 270  Introduction to Abstract Mathematics - Fall 2006
MATH 265 Calculus III - Fall 2006

University Of Utah:
MATH 1210 Calculus I - Spring 2006

Carnegie Mellon University:
21-122 Integration, Differential Equations, and Approximation - Summer 2004
21-259 Calculus in Three Dimensions - Summer 2003
21-127 Concepts of Mathematics - Spring 2003
21-259 Calculus in Three Dimensions - Fall 2002
21-260 Differential Equations - Summer 2002
21-259 Calculus in Three Dimensions - Spring 2002
21-117 Integral Calculus and Differential Equations - Fall 2001
21-118 Calculus of Approximations - Fall 2001
21-117 Integral Calculus and Differential Equations - Summer 2001
21-118 Calculus of Approximations - Summer 2001
21-260 Differential Equations - Spring 2001
21-260 Differential Equations - Fall 2000
21-117 Integral Calculus and Differential Equations - Summer 2000
21-118 Calculus of Approximations - Summer 2000
21-117 Integral Calculus and Differential Equations - Spring 2000
21-118 Calculus of Approximations - Spring 2000
21-259 Calculus in Three Dimensions - Fall 1999