Results 51 to 60 of about 1,159 (78)

Asymptotic parabolicity for strongly damped wave equations

, 2013
For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni, Goldstein, Gisèle Ruiz, Goldstein, Jerome A., Romanelli, Silvia   +3 more
core   +1 more source

Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density

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., Domingos Cavalcanti Valéria N., Lasiecka Irena, Webler Claudete M.   +3 more
doaj   +1 more source

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, Shujaat Khan, Muhammad Sajid, Abdul Wahab, Jong Chul Ye   +4 more
doaj   +1 more source

Dynamics for wave equations connected in parallel with nonlinear localized damping

Advances in Nonlinear Analysis
This 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
doaj   +1 more source

Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay

Open Mathematics
We 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
doaj   +1 more source

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
core   +1 more source

Limiting behavior of quasilinear wave equations with fractional-type dissipation

Advanced Nonlinear Studies
In 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, Meliani Mostafa, Nikolić Vanja   +2 more
doaj   +1 more source

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  

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
core  

Theoretical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach

Advances in Nonlinear Analysis, 2017
In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj   +1 more source