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CNA Publications
Recent Publications:2024- 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)
- 23-CNA-016, A Dimensionally-Reduced Nonlinear Elasticity Model for Liquid Crystal Elastomer Strips with Transverse Curvature, Kevin LoGrande, M. Ravi Shankar, Kaushik Dayal, (download paper)
- 23-CNA-015, Modeling of experimentally observed topological defects inside bulk polycrystals, Siddharth Singh, He Liu, Rajat Arora, Robert Suter, Amit Acharya, (download paper)
- 23-CNA-014, A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity, Amit Acharya, (download paper)
- 23-CNA-013, On long waves and solitons in particle lattices with forces of infinite range, Benjamin Ingimarson, Robert L. Pego, (download paper)
- 23-CNA-012, Deformation Decomposition versus Energy Decomposition for Chemo- and Poro- Mechanics, Janel Chua, Mina Karimi, Patrick Kozlowski, Mehrdad Massoudi, Santosh Narasimhachary, Kai Kadau, George Gazonas, Kaushik Dayal, (download paper)
- 23-CNA-011, Convergence and non-convergence in a nonlocal gradient flow, Sangmin Park, Robert L. Pego, (download paper)
- 23-CNA-010, Mixing in incompressible flows: transport, dissipation, and their interplay, Michele Coti Zelati, Gianluca Crippa, Gautam Iyer, Anna L. Mazzucato, (download paper)
- 23-CNA-009, Action principles for dissipative, non-holonomic Newtonian mechanics, Amit Acharya, Ambar N. Sengupta, (download paper)
- 23-CNA-008, Statistical Field Theory for Nonlinear Elasticity of Polymer Networks with Excluded Volume Interactions, Pratik Khandagale, Timothy Breitzman, Carmel Majidi, Kaushik Dayal, (download paper)
- 23-CNA-007, Dyadic Partition-Based Training Schemes for TV/TGV Denoising, Elisa Davoli, Rita Ferreira, Irene Fonseca, José A. Iglesias, (download paper)
Untitled Document
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:
- 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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