compressible Euler equations 1information geometric regularization 1regularity analysis 1shock waves 1traveling wave solutions 1
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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,…