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math.AP2025
Analysis of the adhesion model and the reconstruction problem in cosmology
Jian-Guo Liu, Robert L. Pego
In cosmology, a basic explanation of the observed concentration of mass in singular structures is provided by the Zeldovich approximation, which takes the form of free-streaming fl…
math.AP2025
Rigidly breaking potential flows and a countable Alexandrov theorem for polytopes
Jian-Guo Liu, Robert L. Pego
We study all the ways that a given convex body in dimensions can break into countably many pieces that move away from each other rigidly at constant velocity, with no rotation…
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…