compressible Euler equations 1information geometric regularization 1regularity analysis 1shock waves 1traveling wave solutions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Shock solutions for the one-dimensional information geometric regularization of compressible flow
William Barham, Brian K. Tran, Ben S. Southworth +1
The paper proves existence, uniqueness, and regularity of one‑dimensional shock‑type traveling wave solutions for the information geometric regularization of the compressible Euler…
math.AP2026
Information geometric regularization of unidimensional pressureless Euler equations yields global strong solutions
Ruijia Cao, Florian Schäfer
Partial differential equations describing compressible fluids are prone to the formation of shock singularities, arising from faster upstream fluid particles catching up to slower,…
math-ph2025
Hamiltonian Information Geometric Regularization of the Compressible Euler Equations
William Barham, Brian K. Tran, Ben S. Southworth +1
The recently proposed information geometric regularization (IGR) was the first inviscid regularization of the multi-dimensional compressible Euler equations, which enabled the simu…