CNA Publications

Search by Year, Author, and Title (Sorts Chronologically)
Year	Author	Search Titles	Submit
any 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997

All Authors

Recent Publications:

2025
• 25-CNA-001, Exploiting instabilities to enable large shape transformations in dielectric elastomers, Daniel Katusele, Carmel Majidi, Pradeep Sharma, Kaushik Dayal, (download paper)

2024

• 24-CNA-020, Phase-Field Modeling of Fracture under Compression and Confinement in Anisotropic Geomaterials, Maryam Hakimzadeh, Carlos Mora-Corral, Noel J. Walkington, Giuseppe Buscarnera, Kaushik Dayal, (download paper)

• 24-CNA-019, The Second Law as a constraint and admitting the approximate nature of constitutive assumptions, Amit Acharya, (download paper)

• 24-CNA-018, Motion of Islands of Elastic Thin Films in the Dewetting Regime, Gianni Dal Maso, Irene Fonseca, Giovanni Leoni, (download paper)

• 24-CNA-017, Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants, N. Sukumar, Amit Acharya, (download paper)

• 24-CNA-016, Variational Dual Solutions of Chern-Simons Theory, Amit Acharya, Janusz Ginster, Ambar N. Sengupta, (download paper)

• 24-CNA-015, Nonlocal Phase Transitions with Singular Heterogeneous Kernels, Wes Caldwell, (download paper)

• 24-CNA-014, Rigidly breaking potential flows and a countable Alexandrov theorem for polytopes, Jian-Guo Liu, Robert L. Pego, (download paper)

• 24-CNA-013, A Finite Deformation Theory of Dislocation Thermomechanics, Gabriel D. Lima-Chaves, Amit Acharya, Manas V. Upadhyaya, (download paper)

• 24-CNA-012, Residual Diffusivity For Noisy Bernoulli Maps, Gautam Iyer, James Nolen, (download paper)

• 24-CNA-011, Impact of Grain Boundary Energy Anisotropy on Grain Growth, Kiana Naghibzadeh, Zipeng Xu, David Kinderlehrer, Robert Suter, Kaushik Dayal, Gregory S. Rohrer, (download paper)

• 24-CNA-010, Variational Dual Solutions for Incompressible Fluids, Amit Acharya, Bianca Stroffolini, Arghir Zarnescu, (download paper)

• 24-CNA-009, Interplay between Nucleation and Kinetics in Dynamic Twinning, Janel Chua, Vaibhav Agrawal, Noel J. Walkington, George Gazonas, Kaushik Dayal, (download paper)

• 24-CNA-008, Nonuniqueness in Defining the Polarization: Nonlocal Surface Charges and the Electrostatic, Energetic, and Transport Perspectives, Shoham Sen, Yang Wang, Timothy Breitzman, Kaushik Dayal, (download paper)

• 24-CNA-007, Existence of solitary waves in particle lattices with power-law forces, Benjamin Ingimarson, Robert L. Pego, (download paper)

• 24-CNA-006, Statistical Field Theory of Polarizable Polymer Chains with Nonlocal Dipolar Interactions, Pratik Khandagale, Carlos Garcia-Cervera, Gal deBotton, Timothy Breitzman, Carmel Majidi, Kaushik Dayal, (download paper)

• 24-CNA-005, Coupled Dislocations and Fracture dynamics at finite deformation: model derivation, and physical questions, Amit Acharya, (download paper)

• 24-CNA-004, A Harris Theorem for Enhanced Dissipation, and an Example of Pierrehumbert, William Cooperman, Gautam Iyer, Seungjae Son, (download paper)

• 24-CNA-003, Mid-surface scaling invariance of some bending strain measures, Amit Acharya, (download paper)

• 24-CNA-002, Inviscid Burgers as a degenerate elliptic problem, Uditnarayan Kouskiya, Amit Acharya, (download paper)

• 24-CNA-001, A Hidden Convexity of Nonlinear Elasticity, Siddharth Singh, Janusz Ginster, Amit Acharya, (download paper)

2023

• 23-CNA-019, Emergent fault friction and supershear in a continuum model of geophysical rupture, Abhishek Arora, Amit Acharya, (download paper)

• 23-CNA-018, An Experimentally Informed Continuum Grain Boundary Model, Syed Ansari, Amit Acharya, Alankar Alankar, (download paper)

• 23-CNA-017, Ideal Magnetohydrodynamics and Field Dislocation Mechanics, Amit Acharya, (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