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CNA Publications
Recent Publications:2024- 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)
- 23-CNA-006, Homogenization and Phase Separation with Fixed Wells - The Supercritical Case, Riccardo Cristoferi, Irene Fonseca, Likhit Ganedi, (download paper)
- 23-CNA-005, Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach, Uditnarayan Kouskiya, Amit Acharya, (download paper)
- 23-CNA-004, Speeding Up Langevin Dynamics By Mixing, Alexander Christie, Yuanyuan Feng, Gautam Iyer, Alexei Novikov, (download paper)
- 23-CNA-003, Using Bernoulli Maps to Accelerate Mixing of a Random Walk on the Torus, Gautam Iyer, Ethan Lu, James Nolen, (download paper)
- 23-CNA-002, High-Dimensional Nonlinear Bayesian Inference of Poroelastic Fields from Pressure Data, Mina Karimi, Mehrdad Massoudi, Kaushik Dayal, Matteo Pozzi, (download paper)
- 23-CNA-001, Vector Field Models For Nematic Disclinations, Amit Acharya, Irene Fonseca, Likhit Ganedi, Kerrek Stinson, (download paper)
2022 - 22-CNA-018, Mechanics of micropillar confined thin film plasticity, Abhishek Arora, Rajat Arora, Amit Acharya, (download paper)
- 22-CNA-017, Elasticity versus phase field driven motion in the phase field crystal model, Amit Acharya, Luiza Angheluta, Jorge Viñals, (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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