abstract wave equation
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Abstract Wave Equation with Monotone Operator Damping in Banach Spaces

2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Edson A. Coayla-Teran ◽  
Carlos A. Raposo
Keyword(s):  
Wave Equation ◽  
Banach Spaces ◽  
Monotone Operator ◽  
Abstract Wave Equation

scholarly journals On the Lax–Phillips scattering matrix of the abstract wave equation

2019 ◽  
Vol 13 (2) ◽  
pp. 449-467
Author(s):  
M. Gawlik ◽  
A. Główczyk ◽  
S. Kuzhel
Keyword(s):  
Wave Equation ◽  
Scattering Matrix ◽  
Abstract Wave Equation

Intrinsic decay rate estimates for abstract wave equation with memory

2017 ◽  
Vol 40 (14) ◽  
pp. 5131-5140 ◽  
Author(s):  
Jianghao Hao ◽  
Jing Wei
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
Abstract Wave Equation ◽  
With Memory

scholarly journals Convergence to equilibrium for solutions of an abstract wave equation with general damping function

2016 ◽  
Vol 260 (3) ◽  
pp. 2259-2274 ◽  
Author(s):  
Tomáš Bárta ◽  
Eva Fašangová
Keyword(s):  
Wave Equation ◽  
Convergence To Equilibrium ◽  
Damping Function ◽  
Abstract Wave Equation

scholarly journals Stability of an abstract-wave equation with delay and a Kelvin–Voigt damping

2015 ◽  
Vol 95 (1-2) ◽  
pp. 21-38 ◽  
Author(s):  
Kaïs Ammari ◽  
Serge Nicaise ◽  
Cristina Pignotti
Keyword(s):  
Wave Equation ◽  
Abstract Wave Equation ◽  
Equation With Delay

scholarly journals Generalized eigenfunction method for floating bodies

2011 ◽  
Vol 667 ◽  
pp. 544-554 ◽  
Author(s):  
COLM J. FITZGERALD ◽  
MICHAEL H. MEYLAN
Keyword(s):  
Time Domain ◽  
Water Waves ◽  
Equations Of Motion ◽  
Linear Equations ◽  
Two Dimensions ◽  
Floating Body ◽  
Floating Bodies ◽  
Abstract Wave Equation ◽  
Generalized Eigenfunction ◽  
The Time Domain

We consider the time domain problem of a floating body in two dimensions, constrained to move in heave and pitch only, subject to the linear equations of water waves. We show that using the acceleration potential, we can write the equations of motion as an abstract wave equation. From this we derive a generalized eigenfunction solution in which the time domain problem is solved using the frequency-domain solutions. We present numerical results for two simple cases and compare our results with an alternative time domain method.

Bifurcation conditions for a solution of an abstract wave equation

2007 ◽  
Vol 43 (4) ◽  
pp. 495-502 ◽  
Author(s):  
A. A. Boichuk ◽  
I. A. Korostil ◽  
M. Fečkan
Keyword(s):  
Wave Equation ◽  
Abstract Wave Equation

scholarly journals An Optimal Estimate for the Time Singular Limit of an Abstract Wave Equation

2004 ◽  
Vol 47 (2) ◽  
pp. 277-290 ◽  
Author(s):  
Ralph Chill ◽  
Alain Haraux
Keyword(s):  
Wave Equation ◽  
Singular Limit ◽  
Optimal Estimate ◽  
Abstract Wave Equation
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