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arXiv · 2408.09907

Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane

Kayyunnapara Divya Joseph
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Abstract

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 $(x_0,0), x_0>0$.

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Kayyunnapara Divya Joseph. 2024-08-19. Weak asymptotic solution of one dimensional zero pressure dynamics system in the quarter plane. https://doi.org/10.1002/zamm.202100483

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