Stratton Hall, 011
- Professor, Mathematical Sciences
Many interesting physical phenomena are difficult to pin down mathematically, which is a necessary first step in order to make predictions confidently. This is particularly true in the study of the evolution of defects in materials; for example, predicting the growth and paths of cracks. My research is in applied analysis, and my goals are to formulate mathematically- and physically-reasonable models for these problems, as well as understand the properties of solutions (even proving their existence itself is often a serious problem). At WPI, I involve both graduate and undergraduate students in these projects, who often make important contributions.
- Partial Differential Equations
- Calculus of Variations
- Geometric Measure Theory
- Applications to Materials Science, especially Fracture Mechanics
- BS, Carnegie Mellon University, 1989
- JD, University of Maryland, 1992
- MS, Carnegie Mellon University, 1994
- PhD, Carnegie Mellon University, 1996
- C. J. Larsen, A new variational principle for cohesive fracture and
elastoplasticity, Mech. Res. Commun., to appear.
- C. J. Larsen and V. Slastikov, Dynamic cohesive fracture: models and
analysis, Math. Models Methods Appl. Sci., to appear.
- C. J. Larsen, Local minimality and crack prediction in quasi-static
Griffith fracture evolution, Discrete Contin. Dyn. Syst. Series S 6
(2013), pp. 121-129.
- G. Dal Maso and C. J. Larsen, Existence for wave equations on domains with
arbitrary growing cracks, Rend. Lincei Mat. Appl. 22 (2011), pp. 387-408.
- A. Braides and C. J. Larsen, Gamma-convergence for stable states and local minimizers, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) X (2011), pp. 193-206.
- NSF Principal Investigator since 2005, with individual research funding over $900,000.
- Leverhulme Visiting Professor
- Visiting positions at Caltech, Oxford, University of Paris IX, University of Paris XIII
- Lecturer, Park City Mathematics Institute - Institute for Advanced Study, 2014