Results 21 to 30 of about 1,144 (44)
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 173-179, 2003., 2003 The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions.
Vladimir V. Kulish, Vasily B. Novozhilov
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Method of replacing the variables for generalized symmetry of the D′Alembert equation
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 149-155, 2002., 2002 We show that by the generalized understanding of symmetry, the D′Alembert equation for one component field is invariant with respect to arbitrary reversible coordinate transformations.
Gennadii A. Kotel′nikov
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An inverse problem for a nonlinear Schrödinger equation
Abstract and Applied Analysis, Volume 7, Issue 7, Page 385-399, 2002., 2002 We study the dependence on the control q of the interval of definition of the solution u of the Cauchy problem ιu′ + Δ u = −λ|u| 2u − ιqu in ℝ 2 × (0, T), u(x, 0) = ω in ℝ 2, and we prove a version of Fibich′s conjecture. Feedback laws for an inverse problem of the above equation with experimental data, measured on a portion of the boundary of an open,
Bui An Ton
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
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On closed‐form solutions of some nonlinear partial differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 81-88, 2000., 2000 This paper is devoted to closed‐form solutions of the partial differential equation: θxx + θyy + δexp(θ) = 0, which arises in the steady state thermal explosion theory. We find simple exact solutions of the form θ(x, y) = Φ(F(x) + G(y)), and θ(x, y) = Φ(f(x + y) + g(x − y)). Also, we study the corresponding nonlinear wave equation.
S. S. Okoya
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Observability and uniqueness theorem for a coupled hyperbolic system
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 423-432, 2000., 2000 We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness and boundary exact controllability results.
Boris V. Kapitonov, Joel S. Souza
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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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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 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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Blow-up results for semilinear wave equations in the super-conformal case
, 2013 We consider the semilinear wave equation in higher dimensions with power nonlinearity in the super-conformal range, and its perturbations with lower order terms, including the Klein-Gordon equation.
Hamza, Mohamed-Ali, Zaag, Hatem
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