Amit Acharya
- Inviscid Burgers as a degenerate elliptic problem
2024/01/16 by Uditnarayan Kouskiya, Kouskiya, Uditnarayan, Amit Acharya +1 · 4 citations
Psychology · Economics, Econometrics and Finance · Engineering · #Optimism, Hope, and Well-being #Stochastic processes and financial applications #Fluid Dynamics and Turbulent Flows
- Variational principles for nonlinear PDE systems via duality
2021/08/19 by Amit Acharya, Acharya, Amit · 2 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons
- Hidden convexity in the heat, linear transport, and Euler's rigid body equations: A computational approach
2023/04/19 by Uditnarayan Kouskiya, Amit Acharya, Kouskiya, Uditnarayan +1 · 3 citations
Engineering · Mathematics · #Elasticity and Material Modeling #FOS: Mathematics #Fractional Differential Equations Solutions #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
- A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity
2023/10/04 by Amit Acharya, Acharya, Amit · 4 citations
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Composite Material Mechanics #Elasticity and Material Modeling #FOS: Mathematics #Nonlocal and gradient elasticity in micro/nano structures
- Variational Dual Solutions for Incompressible Fluids
2024/09/07 by Amit Acharya, Acharya, Amit, Bianca Stroffolini +3 · 3 citations
Chemical Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Rheology and Fluid Dynamics Studies
- Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants
2024/12/02 by N. Sukumar, Amit Acharya, Sukumar, N. +1 · 3 citations
Engineering · #Advanced Numerical Analysis Techniques #Computational Physics (physics.comp-ph) #Engineering Diagnostics and Reliability #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Industrial Engineering and Technologies #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- A dual variational principle for nonlinear dislocation dynamics
2022/10/27 by Amit Acharya, Acharya, Amit · 2 citations
Engineering · Materials Science · #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods in engineering
- Variational Dual Solutions of Chern-Simons Theory
2024/11/26 by Amit Acharya, Acharya, Amit, Janusz Ginster +3 · 2 citations
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Quantum many-body systems #Spectral Theory in Mathematical Physics
- Variational principle for a damped, quadratically interacting particle chain with nonconservative forcing
2023/10/31 by Amit Acharya, Acharya, Amit, Ambar N. Sengupta +1 · 1 citation
Physics and Astronomy · Engineering · #Nonlinear Waves and Solitons #Elasticity and Wave Propagation #Quantum chaos and dynamical systems
- On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs
2025/12/14 by Dmitry Vorotnikov, Amit Acharya, Vorotnikov, Dmitry +1 · 3 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Distributed Control Multi-Agent Systems #Optimization and Variational Analysis #cs.NA #math.AP #math.NA #math.OC
- Dual Variational Principles for Curl Forces
2026/08/02 by Arash Yavari, Amit Acharya
Physics and Astronomy · Mathematics · #math-ph #math.MP
- Solving the Dissipation Inequality not as a constitutive restriction
2026/08/03 by Maximiliano Larrain Silva, Amit Acharya
Physics and Astronomy · Mathematics · #physics.class-ph #cond-mat.mtrl-sci #math.OC