Results 11 to 20 of about 469 (57)
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 935-955, 2004., 2004 We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H1(ℝn).
Abbès Benaissa, Soufiane Mokeddem
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Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 201-211, 2004., 2004 This work is concerned with a semilinear thermoelastic system, where the heat flux is given by Cattaneo′s law instead of the usual Fourier′s law. We will improve our earlier result by showing that the blowup can be obtained for solutions with “relatively” positive initial energy.
Salim A. Messaoudi, Belkacem Said-Houari
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Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
Abstract and Applied Analysis, Volume 7, Issue 10, Page 531-546, 2002., 2002 We consider a Timoshenko system with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay with the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decays exponentially and polynomially when the ...
Mauro de Lima Santos
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Blowup of solutions of a nonlinear wave equation
Journal of Applied Mathematics, Volume 2, Issue 2, Page 105-108, 2002., 2002 We establish a blowup result to an initial boundary value problem for the nonlinear wave equation utt − M(‖B1/2u‖ 2) Bu + kut = |u| p−2, x ∈ Ω, t > 0.
Abbes Benaissa, Salim A. Messaoudi
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Spatial decay estimates for a class of nonlinear damped hyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 17-26, 2001., 2001 This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two‐dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.
F. Tahamtani, K. Mosaleheh, K. Seddighi
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On the existence of solutions of strongly damped nonlinear wave equations
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 369-382, 2000., 2000 We investigate the existence and uniqueness of solutions of the following equation of hyperbolic type with a strong dissipation: utt(t,x)−(α+β(∫Ω|∇u(t,y)|2dy)γ)Δu(t,x) −λΔut(t,x)+μ|u(t,x)|q−1u(t,x)=00, x∈Ω,t≥ u(0,x)=u0(x), ut(0,x)=u1(x), x∈Ω, u|∂Ω=0 , where q > 1, λ > 0, μ ∈ ℝ, α, β ≥ 0, α + β > 0, and Δ is the Laplacian in ℝN.
Jong Yeoul Park, Jeong Ja Bae
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International Journal of Stochastic Analysis, Volume 12, Issue 2, Page 179-190, 1999., 1998 The aim of the paper is to prove two theorems on the existence of solutions to a nonlocal multivalued Darboux problem. The first theorem concerns the case when the orientor field is convex valued. The second theorem concerns the case when the orientor field is nonconvex valued.
Ludwik Byszewski +1 more
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International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 163-168, 1990., 1990 The aim of the paper is to give two theorems about existence and uniqueness of continuous solutions for hyperbolic nonlinear differential problems with nonlocal conditions in bounded and unbounded domains. The results obtained in this paper can be applied in the theory of elasticity with better effect than analogous known results with classical initial
L. Byszewski
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 137-143, 1989., 1989 The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convectlon‐diffusion processes; and finally, an elliptic partial differential equation.
G. Adomian
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On a nonolinear wave equation in unbounded domains
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 335-342, 1988., 1988 We study existence and uniqeness of the nonlinear wave equation in unbounded domains. The above model describes nonlinear wave phenomenon in non‐homogeneous media. Our techniques ivolve fixed point arguments combined with the energy method.
Carlos Frederico Vasconcellos
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