Results 81 to 90 of about 28,118,061 (306)

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

Attractors for an Energy‐Damped Viscoelastic Plate Equation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso, M. J. D. Nascimento, M. L. Pelicer, I. A. S. Picolli   +3 more
wiley   +1 more source

A posteriori error control for discontinuous Galerkin methods for parabolic problems

, 2010
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis, Ern A., Juha M. Virtanen, Omar Lakkis, Yang J.-M.   +4 more
core   +1 more source

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source

Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

, 2014
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core   +1 more source

Local solutions for a hyperbolic equation

Electronic Journal of Qualitative Theory of Differential Equations, 2015
Let $\Omega$ be an open bounded set of $\mathbb{R}^n$ with its boundary $\Gamma$ constituted of two disjoint parts $\Gamma_0$ and $\Gamma_1$ with $\overline{\Gamma}_0 \cap \overline{\Gamma}_1=\emptyset.$ This paper deals with the existence of local ...
Aldo Trajano Lourêdo, Haroldo Rodrigues Clark, Manuel Milla Miranda, Marcondes Rodrigues Clark   +3 more
doaj   +1 more source

A vertical‐slice frontogenesis test case for compressible non‐hydrostatic dynamical cores of atmospheric models

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
wiley   +1 more source

Time-periodic solution for a fourth-order parabolic equation describing crystal surface growth

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, by using the Galerkin method, the existence and uniqueness of time-periodic generalized solutions to a fourth-order parabolic equation describing crystal surface growth are proved.
Xiaopeng Zhao, Bo Liu, Ning Duan
doaj   +1 more source

Probing Viscoelasticity of Polymeric Coatings Using Nonlinear Dynamic Atomic Force Microscopy

Small Methods, EarlyView.
For soft materials it is essential to characterize both the elastic and viscous material properties. Using an atomic force microscope, the hardening nonlinearity induced by a tip‐sample contact and bifurcation points can be used to separately estimate the visco‐ and elastic parts of the tip‐sample interaction force.
Lara Vivian Fricke, Nick Wansink, Michel Rosso, Urs Staufer, Pierpaolo Belardinelli, Farbod Alijani   +5 more
wiley   +1 more source

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]

, 2006
An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der, Klaij, C.M., Vegt, J.J.W. van der, Ven, H. van der   +3 more
core   +1 more source