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arXiv · 2509.07207

Generalized variational principle for an accelerated pressureless gas model

Mack Dowell Komba Moudoumou·Fulgence Eyi Obiang·Octave Moutsinga
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Abstract

We examine a discrete model of sticky particles initially subjected to acceleration. We propose a novel generalized variational principle for characterizing clusters (i.e., particle agglomerations) under decreasing acceleration function. This accelerated particle model is usually employed to solve a system of forced (inhomogeneous) pressureless gas equations. The momentum conservation law requires evaluating the force acting on the gas particles. Here, we present a new solution to this system of equations, based on the distribution of mass over particle velocities and on the acceleration function.

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Mack Dowell Komba Moudoumou, Fulgence Eyi Obiang, Octave Moutsinga. 2025-09-08. Generalized variational principle for an accelerated pressureless gas model. https://arxiv.org/abs/2509.07207

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