Results 51 to 60 of about 1,145 (77)
Topological sensitivity based far-field detection of elastic inclusions
Results in Physics, 2018 The aim of this article is to present and rigorously analyze topological sensitivity based algorithms for detection of diametrically small inclusions in an isotropic homogeneous elastic formation using single and multiple measurements of the far-field ...
Tasawar Abbas +4 more
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Absence of global solutions to wave equations with structural damping and nonlinear memory
Demonstratio MathematicaWe prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar +2 more
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Efficient PML for the wave equation [PDF]
, 2009 In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
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On the local structure of the Klein-Gordon field on curved spacetimes [PDF]
, 2000 This paper investigates wave-equations on spacetimes with a metric which is locally analytic in the time. We use recent results in the theory of the non-characteristic Cauchy problem to show that a solution to a wave-equation vanishing in an open set ...
Strohmaier, Alexander
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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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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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Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions [PDF]
, 2014 This paper is concerned with the Cauchy problem for the semilinear wave equation: $u_{tt}-\Delta u=F(u) \ \mbox{in} \ R^n\times[0, \infty)$, where the space dimension $n \ge 2$, $F(u)=|u|^p$ or $F(u)=|u|^{p-1}u$ with $p>1$.
Rammaha, Mohammad +3 more
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Advances in Nonlinear Analysis, 2017 In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
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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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Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
, 2020 We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach.
Xuan, Pham Truong
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