CNA Publications

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Recent Publications:

2013
• 13-CNA-013, Power-law hereditariness of Hierarchical Fractal Bones , Luca Deseri, M. Di Paola , P. Pollaci , M. Zingales, (download paper)

• 13-CNA-012, High Order Schemes for Wave Equations , Noel J. Walkington, (download paper)

• 13-CNA-011, Preconditioned Conjugate Gradient Method for Boundary Artifact-Free Image Deblurring , Nam-Yong Lee, Bradley J. Lucier, (download paper)

• 13-CNA-010, Regularity Results for an Optimal Design Problem with a Volume Constraint , Menita Carozza , Irene Fonseca, Antonia Passarelli, (download paper)

• 13-CNA-009, Block Iterative Richardson--Lucy Methods for Image Deblurring , Nam-Yong Lee, (download paper)

• 13-CNA-008, Calculus of Variations , Irene Fonseca, Giovanni Leoni, (download paper)

• 13-CNA-007, The Analyticity Breakdown For Frenkel-Kontorova Models In Quasi-periodic Media:Numerical Explorations , Timothy Blass, Rafael de la Llave, (download paper)

• 13-CNA-006, Spectra of Functionalized Operators arising from Hypersurfaces , Gurgen Hayrapetyan, Keith Promislow, (download paper)

• 13-CNA-005, Residual stresses in random elastic composites: nonlocal micromechanics-based models and first estimates of the representative volume element size , Francesco Dal Corso, Luca Deseri, (download paper)

• 13-CNA-004, One-Dimensional Swimmers in Viscous Fluids: Dynamics, Controllability, and Existence of Optimal Controls , Antonio DeSimone , Gianni Dal Maso, Marco Morandotti, (download paper)

• 13-CNA-003, Materials Microstructures: Entropy and Curvature-Driven Coarsening , Katayun Barmak, Eva Eggeling, Maria Emelianenko, Yekaterina Epshteyn, David Kinderlehrer, Richard Sharp, Shlomo Ta'asan, (download paper)

• 13-CNA-002, Limit Theorems for Smoluchowski Dynamics Associated with Critical Continuous-State Branching Processes , Gautam Iyer, Nicholas Leger, Robert L. Pego, (download paper)

• 13-CNA-001, Properties of Minimizers of Average-Distance Problem via Discrete Approximation of Measures , Xin Yang Lu, Dejan Slepčev, (download paper)

2012

• 12-CNA-017, Scaling law and reduced models for epitaxially strained crystalline Films , Michael Goldman, Barbara Zwicknagl, (download paper)

• 12-CNA-016, Line tension and bending rigidity of biomembranes are determined by their stretching elasticity , Luca Deseri, Giuseppe Zurlo, (download paper)

• 12-CNA-015, Counterexample To Regularity in Average-Distance Problem , Dejan Slepčev, (download paper)

• 12-CNA-014, Moving Interfaces that Separate Loose and Compact Phases of Elastic Aggregates: A Mechanism for Drastic Reduction or Increase of Macroscopic Deformation , Luca Deseri, David R. Owen, (download paper)

• 12-CNA-013, A Theory and Challenges for Coarsening in Microstructure , Katayun Barmak, Eva Eggeling, Maria Emelianenko, Yekaterina Epshteyn, David Kinderlehrer, Richard Sharp, Shlomo Ta'asan, (download paper)

• 12-CNA-011, Microstructures in low-hysteresis shape memory alloys: analysis and computation , Barbara Zwicknagl, (download paper)

• 12-CNA-010, Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence , Dimitri Mugnai, Matteo Rinaldi, (download paper)

• 12-CNA-009, Evolution Of Elastic Thin Films With Curvature Regularization Via Minimizing Movements , Paolo Piovano, (download paper)

• 12-CNA-008, A Note on Variational Models for Denoising , Rustum Choksi, Irene Fonseca, Barbara Zwicknagl, (download paper)

• 12-CNA-007, Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces , Irene Fonseca, Giovanni Leoni, Gianni Dal Maso, (download paper)

• 12-CNA-006, Crossover of the Coarsening Rates in Demixing of Binary Viscous Liquids , Felix Otto, Christian Seis, Dejan Slepčev, (download paper)

 

Lecture Notes:

• Introduction to Oceanography by Luc Tartar: tex, dvi, postscript, pdf
• An Introduction to the Homogenization Method in Optimal Design by Luc Tartar: pdf
• An introduction to Sobolev spaces and interpolation spaces by Luc Tartar: dvi, pdf, postscript
  
  
• 2001 CNA Summer School Lecture Notes:
  • Irene Fonseca - dvi, ps, pdf
  • Richard James - ppt
  • Dal Maso - dvi
  • Luc Tartar - Lecture 1: dvi, ps ; Lecture 2: dvi, ps
  • Lev Truskinovsky - Lect 1: 1-1, 1-2; Lect 2: 2-1, 2-2; Lect 3: 3-1, 3-2 ; Lect 4: 4-1, 4-2
  • Noel Walkington - ps
  
  
• 2004 CNA Summer School Lecture Notes:
  • Luigi Ambrosio - ps, pdf
  • Maria-Carme Calderer - pdf
  • Wilfrid Gangbo - pdf
  • Nassif Ghoussoub - Lecture 1: pdf, Lecture 2: pdf
  • David Kinderlehrer - pdf
  • Stefan Müller - ps, pdf
  
  
• 2006 CNA Summer School Lecture Notes:
  • Krzysztof Burdzy - Lecture 1: pdf, Reference 1: pdf, Lecture 2: pdf, Reference 2: pdf, Lecture 3: pdf, Lecture 4: pdf, Lecture 5: pdf
  • Carlos Kenig - pdf
  • Ricardo Nochetto - Lecture 1: pdf, Lecture 2: pdf, Lecture 3: pdf, Lecture 4: pdf
  • Panagiotis Souganidis - pdf
  • Srinivasa Varadhan - Lecture 1: pdf, Lecture 2: pdf, Lecture 3: pdf, Lecture 4: pdf, Lecture 5: pdf
  
  
• 2008 CNA Summer School Lecture Notes:
  • Robert Kohn - Overview: pdf, Lecture 1: pdf, Lecture 2 and 3: pdf, Lecture 4: pdf, Lecture 5: pdf
  • Perhame - pdf
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