Results 71 to 80 of about 1,361 (131)
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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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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General decay for a system of nonlinear viscoelastic wave equations with weak damping
, 2012 In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in Rn (n=1,2,3). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends
B. Feng, Yuming Qin, Ming Zhang
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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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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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A Modified Discontinuous Galerkin Method for Solving Efficiently Helmholtz Problems
, 2012 A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this method requires solving (a) well-
Magdalena Grigoroscuta-Strugaru +3 more
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The stability of local strong solutions for a shallow water equation
, 2014 We establish the L1 stability of local strong solutions for a shallow water equation which includes the Degasperis-Procesi equation provided that its initial value lies in the Sobolev space Hs(R) with s>32.
S. Lai +3 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
core
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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Dynamics for wave equations connected in parallel with nonlinear localized damping
Advances in Nonlinear AnalysisThis study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
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