2 citations · 2 across the 2 of their papers we have counts for
4 papers
A convex variational principle for the necessary conditions of classical optimal control
Amit Acharya, Janusz Ginster
A scheme for generating a family of convex variational principles is developed, the Euler- Lagrange equations of each member of the family formally corresponding to the necessary c…
The Second Law as a constraint and admitting the approximate nature of constitutive assumptions
Amit Acharya
A scheme for treating the Second Law of thermodynamics as a constraint and accounting for the approximate nature of constitutive assumptions in continuum thermomechanics is discuss…
Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants
N. Sukumar, Amit Acharya
Many partial differential equations (PDEs) such as Navier--Stokes equations in fluid mechanics, inelastic deformation in solids, and transient parabolic and hyperbolic equations do…
Variational Dual Solutions of Chern-Simons Theory
Amit Acharya, Janusz Ginster, Ambar N. Sengupta
A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for…