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Faculty & Staff

Christopher J. Larsen

Publications

Peer-Reviewed (Refereed) Journal Articles

• C. J. Larsen.  Epsilon-stable quasi-static brittle fracture evolution. Comm. Pure Appl. Math., to appear.

• A. Garroni and C. J. Larsen.  Threshold-based quasi-static brittle damage evolution.  Arch. Rat. Mech. Anal., 194 (2009), pp. 585-609.

• C. J. Larsen, M. Ortiz, and C. L. Richardson.  Fracture paths from front kinetics: relaxation and rate-independence.  Arch. Rat. Mech. Anal., 193 (2009), pp. 539-583.

• C. J. Larsen.  Models for dynamic fracture based on Griffith's criterion. IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, to appear.

• C. J. Larsen, C. Ortner, and E. Suli.  Existence of solutions to a regularized model of dynamic fracture.  Mathematical Models and Methods in Applied Sciences, to appear.

• B. Bourdin, C. J. Larsen, and C. L. Richardson.  A time-discrete model for dynamic fracture based on crack regularization.  Int. J. Fracture, submitted.

• G. A. Francfort and C. J. Larsen, Existence and convergence for quasi-static evolution in brittle fracture. Comm. Pure Appl. Math., 2003.

• C. J. Larsen, Regularity of components in optimal design problems with perimeter penalization. Calc. Var. Partial Differential Equations 16 (2003), pp. 17-29.

• C. J. Larsen and R. Lui, Uniqueness of steady-states and asymptotic behavior of solutions of a liquid junction model with insulation. Nonlinear Anal. Real World Appl. 3 (2002), pp. 227-241.

• A. Chambolle and C. J. Larsen, C^\infty regularity of the free boundary for a two-dimensional optimal compliance problem. Calc. Var. Partial Differential Equations (2002), to appear.

• C. J. Larsen, Regularity in two-dimensional variational problems with perimeter penalties. C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), pp. 261-266.

• C. J. Larsen, On the representation of effective energy densities. ESAIM Control Optim. Calc. Var. 5 (2000), pp. 529-538.

• C. J. Larsen, Distance between components in optimal design problems with perimeter penalization. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28 (1999), pp. 641-649.

• C. J. Larsen, Quasiconvexification in W^1,1 and optimal jump microstructure in BV relaxation. SIAM J. Math. Anal. 29 (1998), pp. 823-848.

• C. J. Larsen, A new proof of regularity for two-shaded image segmentations. Manuscripta Math. 96 (1998), pp. 247-262.

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