Results 41 to 50 of about 48,064 (258)

On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials

Modelling and Simulation in Engineering, 2016
Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation ...
Luciano Feo, Rosa Penna
doaj   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]

, 2004
We consider a family of integro-differential equations depending upon a parameter $b$ as well as a symmetric integral kernel $g(x)$. When $b=2$ and $g$ is the peakon kernel (i.e. $g(x)=\exp(-|x|)$ up to rescaling) the dispersionless Camassa-Holm equation
Holm, Darryl D., Hone, Andrew N. W.
core   +2 more sources

Boundary Controllability of Differential Equations with Nonlocal Condition

Journal of Mathematical Analysis and Applications, 1999
Global exact boundary controllability in a given time-interval of a semilinear abstract dynamical system is considered. It is generally assumed that the dynamical system is defined in an infinite-dimensional Banach space, that it contains both a linear and a nonlinear part, and that, moreover, it satisfies the so-called nonlocal conditions.
Han, Hyo-Keun, Park, Jong-Yeoul
openaire   +1 more source

Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise

Bernoulli, 2022
We study the "periodic homogenization" for a class of nonlocal partial differential equations of parabolic-type with rapidly oscillating coefficients, related to stochastic differential equations driven by multiplicative isotropic $ $-stable L vy noise ...
Huang, Qiao, Duan, Jinqiao, Song, Renming   +2 more
openaire   +3 more sources

Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]

, 2017
A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk, Lee, Young-Ran, Ried, Tobias, Zharnitsky, Vadim   +3 more
core   +3 more sources

On stochastic solutions of nonlocal random functional integral equations

Arab Journal of Mathematical Sciences, 2019
In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
doaj   +1 more source

Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential [PDF]

, 2016
This paper is concerned with a distributed optimal control problem for a nonlocal phase field model of Cahn-Hilliard type, which is a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of diffusion.
Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen   +2 more
core   +3 more sources

On a Multivalued Differential Equation with Nonlocality in Time [PDF]

Vietnam Journal of Mathematics, 2020
AbstractThe initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain growth condition and a Volterra integral operator in time of convolution type with exponential decay.
Eikmeier, André, Emmrich, Etienne
openaire   +4 more sources

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source