A Kind of Discrete Non-Reflecting Boundary Conditions for Varieties of Wave Equations

2002 ◽  
Vol 18 (2) ◽  
pp. 295-308
Author(s):  
Xiu-min Shao ◽  
Zhi-ling Lan
Keyword(s):  
Boundary Conditions ◽  
Wave Equations

Trend to spatial homogeneity for solutions to semilinear damped wave equations

1987 ◽  
Vol 105 (1) ◽  
pp. 117-126 ◽  
Author(s):  
J. Solà-Morales ◽  
M. València
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Lipschitz Constant ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Spatial Homogeneity ◽  
Homogeneous Solutions ◽  
Spatially Homogeneous ◽  
Image Position

SynopsisThe semilinear damped wave equationssubject to homogeneous Neumann boundary conditions, admit spatially homogeneous solutions (i.e. u(x, t) = u(t)). In order that every solution tends to a spatially homogeneous one, we look for conditions on the coefficients a and d, and on the Lipschitz constant of f with respect to u.

scholarly journals Some comments on electromagnetic oscillations in anisotropic cavities

2020 ◽  
Author(s):  
Luiz C L Botelho
Keyword(s):  
Boundary Conditions ◽  
Anisotropic Medium ◽  
Wave Equations ◽  
Mathematical Methods ◽  
Electromagnetic Oscillations

WE present several new studies on the mathematical methods formulation of the important problem of electromagnetic oscillations in cavities on anisotropic and axial anisotropic medium . This paper has appeared on Luiz.C.L.Botelho. . Some Comments on electromagnetic oscillations in anisotropic cavities -wave equations and boundary conditions Physics & Astronomy International Journal , v. 2, p. 562-565, 2018

scholarly journals D'Alembert type travelling wave solution for a wave equations on finite interval with coupled initial boundary conditions

2021 ◽  
Author(s):  
Songlin CHEN
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Finite Interval ◽  
Traveling Wave Solutions ◽  
Initial Boundary ◽  
Travelling Wave ◽  
Single Wave ◽  
Coupled Wave Equations ◽  
Solving Equations ◽  
Coupled Wave

The problem of solving equations for a class of coupled wave equations with initial-boundary conditions is discussed by using the results for the problem with initial value in this paper. A coupled wave equations which defined in semi-infinite interval and finite interval are studied respectively, the d’Alembert type traveling wave solutions with finite closed form of the corresponding problems are obtained and the examples are given. This research generalize the corresponding results for single wave equation and .avoid the traditional Fourior series solution.

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