Behavior of Solutions to An Initial Boundary Value Problem for a hyperbolic system with relaxation
Luyu Cen, Lu Lin, Jiyuan Liu, Yujie Xiao
TL;DR
This paper investigates how solutions to a hyperbolic system with relaxation behave under small relaxation parameters, using Fourier Series and energy methods to analyze their properties.
Contribution
It provides a detailed analysis of the solution behavior for hyperbolic systems with relaxation, focusing on the small relaxation parameter regime.
Findings
Characterization of solution behavior as relaxation parameter approaches zero
Application of Fourier Series and energy methods to hyperbolic systems
Insights into stability and asymptotic behavior of solutions
Abstract
The behavior of solutions to an initial boundary value problem for a hyperbolic system with relaxation is studied when the relaxation parameter is small, by using the method of Fourier Series and the energy method.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions