3 papers
math.OC2025
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…
math-ph2024
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…
math.AP2024
A Hidden Convexity of Nonlinear Elasticity
Siddharth Singh, Janusz Ginster, Amit Acharya
A technique for developing convex dual variational principles for the governing PDE of nonlinear elastostatics and elastodynamics is presented. This allows the definition of notion…