2 papers
math.AP2025
Traveling wave profiles for a semi-discrete Burgers equation
Uditnarayan Kouskiya, Robert L. Pego, Amit Acharya
We look for traveling waves of the semi-discrete conservation law , using variational principles related to concepts of ``hidden convexity'' app…
math.NA2024
Inviscid Burgers as a degenerate elliptic problem
Uditnarayan Kouskiya, Amit Acharya
We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate e…