Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916361467330560 |
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| author | Joseph, Kayyunnapara Divya |
| author_facet | Joseph, Kayyunnapara Divya |
| contents | In this paper we study a system of equations which appear in the modelling of many physical phenomena. Initially this system appeared in description of the large scale structure formation. Recently it is derived as a second order queueing model. We construct weakly asymptotic solutions of the initial boundary value problem for the system and interaction of waves in the quarter plane $\{(x,t): x>0,t>0\}$ with boundary Riemann solution centered at $(0,0)$ and Riemann solution centered at a point $(x_0,0), x_0>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane Joseph, Kayyunnapara Divya Analysis of PDEs 35A20, 35L50, 35R05 In this paper we study a system of equations which appear in the modelling of many physical phenomena. Initially this system appeared in description of the large scale structure formation. Recently it is derived as a second order queueing model. We construct weakly asymptotic solutions of the initial boundary value problem for the system and interaction of waves in the quarter plane $\{(x,t): x>0,t>0\}$ with boundary Riemann solution centered at $(0,0)$ and Riemann solution centered at a point $(x_0,0), x_0>0$. |
| title | Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane |
| topic | Analysis of PDEs 35A20, 35L50, 35R05 |
| url | https://arxiv.org/abs/2408.09907 |