Results 41 to 50 of about 1,167 (73)
, 2011 We study black holes for the linear hyperbolic equations describing the wave propagation in the moving medium. Such black holes are called artificial since the Lorentz metric associated with the hyperbolic equation does not necessary satisfies the ...
Eskin, Gregory
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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
wiley +1 more source
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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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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, 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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Critical regularity of nonlinearities in semilinear classical damped wave equations
, 2019 In this paper we consider the Cauchy problem for the semilinear damped wave equation $u_{tt}-\Delta u + u_t = h(u);\qquad u(0;x) = f(x); \quad u_t(0;x) = g(x);$ where $h(s) = |s|^{1+2/n}\mu(|s|)$.
Ebert, Marcelo Rempel +2 more
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Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 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
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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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
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