Generalized variational principle for an accelerated pressureless gas model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909778198921216 |
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| author | Moudoumou, Mack Dowell Komba Obiang, Fulgence Eyi Moutsinga, Octave |
| author_facet | Moudoumou, Mack Dowell Komba Obiang, Fulgence Eyi Moutsinga, Octave |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized variational principle for an accelerated pressureless gas model Moudoumou, Mack Dowell Komba Obiang, Fulgence Eyi Moutsinga, Octave Probability 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. |
| title | Generalized variational principle for an accelerated pressureless gas model |
| topic | Probability |
| url | https://arxiv.org/abs/2509.07207 |