Stability of the wave equations on a tree with local Kelvin–Voigt damping

Exponential Stability of Wave Equations with Potential and Indefinite Damping

First, we consider the linear wave equation utt−uxx +a(x)ut + b(x)u = 0 on a bounded interval (0, L) ⊂ R. The damping function a is allowed to change its sign. If a := 1 L R L 0 a(x)dx is positive and the spectrum of the operator (∂xx− b) is negative, exponential stability is proved for small ‖a− a‖L2 . Explicit estimates of the decay rate ω are given in terms of a and the biggest eigenvalue of...

Local Existence And Stability Results For A Wave Equation With Damping On All R

We discuss the local existence results of the solutions for the nonlocal hyperbolic problem 2 ( ) || ( ) || ( ) 0, tt t u x u t u u        , N x R  0, t  with initial conditions 0 ( ,0) ( ) u x u x  and 1 ( ,0) ( ), t u x u x  in the case where 3, 0 N    and 1 ( ( )) ( ) x g x    is a positive function lying in / ( ) ( ). N N N L R L R  When the initial energy 0 1 ( , ) E u u...

Wave equations with non-dissipative damping

On Nonlinear Wave Equations with Degenerate Damping and Source Terms

In this article we focus on the global well-posedness of the differential equation utt − ∆u+ |u|k∂j(ut) = |u|p−1u in Ω× (0, T ), where ∂j is a sub-differential of a continuous convex function j. Under some conditions on j and the parameters in the equations, we obtain several results on the existence of global solutions, uniqueness, nonexistence and propagation of regularity. Under nominal assu...

the effect of consciousness raising (c-r) on the reduction of translational errors: a case study

در دوره های آموزش ترجمه استادان بیشتر سعی دارند دانشجویان را با انواع متون آشنا سازند، درحالی که کمتر به خطاهای مکرر آنان در متن ترجمه شده می پردازند. اهمیت تحقیق حاضر مبنی بر ارتکاب مکرر خطاهای ترجمانی حتی بعد از گذراندن دوره های تخصصی ترجمه از سوی دانشجویان است. هدف از آن تاکید بر خطاهای رایج میان دانشجویان مترجمی و کاهش این خطاها با افزایش آگاهی و هوشیاری دانشجویان از بروز آنها است.از آنجا ک...