Three-dimensional linear hyperbolic system

2021 ◽  
Author(s):  
Rakhmatillo Aloev ◽  
Dilfuza Nematova
Keyword(s):  
Hyperbolic System ◽  
Three Dimensional ◽  
Linear Hyperbolic System

Riesz basis of exponential family for a hyperbolic system

2019 ◽  
Vol 25 (1) ◽  
pp. 13-23
Author(s):  
Abdelkader Intissar ◽  
Aref Jeribi ◽  
Ines Walha
Keyword(s):  
Hilbert Space ◽  
Linear System ◽  
Hyperbolic System ◽  
Riesz Basis ◽  
Infinitesimal Generator ◽  
Exponential Family ◽  
Analysis Method ◽  
Spectral Analysis Method ◽  
Weaker Conditions ◽  
Linear Hyperbolic System

Abstract This paper studies a linear hyperbolic system with boundary conditions that was first studied under some weaker conditions in [8, 11]. Problems on the expansion of a semigroup and a criterion for being a Riesz basis are discussed in the present paper. It is shown that the associated linear system is the infinitesimal generator of a {C_{0}} -semigroup; its spectrum consists of zeros of a sine-type function, and its exponential system {\{e^{\lambda_{n}t}\}_{n\geq 1}} constitutes a Riesz basis in {L^{2}[0,T]} . Furthermore, by the spectral analysis method, it is also shown that the linear system has a sequence of eigenvectors, which form a Riesz basis in Hilbert space, and hence the spectrum-determined growth condition is deduced.

Singular perturbation of a linear hyperbolic system

1988 ◽  
Vol 30 (4) ◽  
pp. 279-303
Author(s):  
A. Jeffrey ◽  
M. Li
Keyword(s):  
Singular Perturbation ◽  
Hyperbolic System ◽  
Linear Hyperbolic System

Control of a2 × 2coupled linear hyperbolic system sandwiched between 2 ODEs

2018 ◽  
Vol 28 (13) ◽  
pp. 3987-4016 ◽  
Author(s):  
Ji Wang ◽  
Miroslav Krstic ◽  
Yangjun Pi
Keyword(s):  
Hyperbolic System ◽  
Linear Hyperbolic System

A linear hyperbolic system with stiff source terms

2007 ◽  
Vol 12 (2) ◽  
pp. 207-210
Author(s):  
Hongmei Xu ◽  
Weike Wang
Keyword(s):  
Hyperbolic System ◽  
Source Terms ◽  
Linear Hyperbolic System

scholarly journals GENERALIZED SOLUTION OF A MIXED PROBLEM FOR LINEAR HYPERBOLIC SYSTEM

2014 ◽  
Vol 96 (1) ◽  
Author(s):  
L.S. Chadli ◽  
S. Melliani ◽  
A. Moujahid
Keyword(s):  
Mixed Problem ◽  
Hyperbolic System ◽  
Generalized Solution ◽  
Linear Hyperbolic System

scholarly journals Properties of the averaging along the characteristics hyperbolic of the system operator

2012 ◽  
Vol 53 ◽  
Author(s):  
Aleksandras Krylovas ◽  
Olga Lavcel-Budko
Keyword(s):  
Hyperbolic System ◽  
Initial Conditions ◽  
Riemann Invariants ◽  
Averaged Equations ◽  
System Operator ◽  
Linear Hyperbolic System

Examing the averaged equations system with periodic initial conditions. Proved the lemmas, which allow to reorganize the system in to the form similar to a semi-linear hyperbolic system written in Riemann invariants. This allows to set conditions for the existence of the solution.

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