2 papers
math.AP2024
Dissipative measure-valued solutions and weak-strong uniqueness for the Euler alignment system
Abhishek Chaudhary, Ujjwal Koley, Emil Wiedemann
We introduce the concept of a dissipative measure-valued solution to the Euler alignment system. This approach incorporates a modified total energy balance, utilizing a binary tens…
math.AP2024
A numerical method to simulate the stochastic linear-quadratic optimal control problem with control constraint in higher dimensions
Abhishek Chaudhary
We propose an {\em implementable} numerical scheme for the discretization of linear-quadratic optimal control problems involving SDEs in higher dimensions with {\em control constra…