1D pressureless gas dynamics systems in a strip

2025/02/21 by Abhrojyoti Sen, Sen, Abhrojyoti · 1 citation
Earth and Planetary Sciences · Environmental Science · Mathematics · #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Methane Hydrates and Related Phenomena

paper · pdf · doi:10.48550/arxiv.2502.15927

openalex publication_date 2025/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct explicit measure-valued solutions to the one-dimensional pressureless gas dynamics system in a strip-like domain by introducing a new boundary potential. The constructed solutions satisfy an entropy condition, and depending on the boundary data and the behavior of the potentials, mass accumulation can occur at the boundaries. The approach relies on a systematic treatment of boundary potentials and their interactions with the initial data, providing a more precise understanding of the formation and propagation of singularities in measure-valued solutions.

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