Results 41 to 50 of about 1,175 (77)
Rotationally invariant periodic solutions of semilinear wave equations
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 171-180, 1998., 1998 Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Martin Schechter
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, 2012 In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general ...
Abdallah C. +7 more
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 377-400, 1998., 1998 We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation. The floor of the chamber is subject to the action of piezo‐ceramic patches (smart materials).
Mehmet Camurdan
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A Simple Example of Localized Parametric Resonance for the Wave Equation [PDF]
, 2008 2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics ...
Colombini, Ferruccio, Rauch, Jeffrey
core
A wave equation with discontinuous time delay
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 781-788, 1992., 1992 The influence of certain discontinuous delays on the behavior of the solutions of the wave equation is studied.
Joseph Wiener, Lokenath Debnath
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Electromagnetic source localization with finite set of frequency measurements [PDF]
, 2014 A phase conjugation algorithm for localizing an extended radiating electromagnetic source from boundary measurements of the electric field is presented. Measurements are taken over a finite number of frequencies.
Anjum, Saman +3 more
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
Open MathematicsWe study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
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Limiting behavior of quasilinear wave equations with fractional-type dissipation
Advanced Nonlinear StudiesIn this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propagation through complex media with anomalous diffusion of Gurtin–Pipkin type.
Kaltenbacher Barbara +2 more
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
doaj
Advances in Nonlinear Analysis, 2017 We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract ...
Cavalcanti Marcelo M. +3 more
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