Results 41 to 50 of about 542,997 (336)

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

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions

Boundary Value Problems, 2018
In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions.
Jianxin He, Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui   +4 more
semanticscholar   +1 more source

Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation [PDF]

, 2016
We obtain Schauder estimates for a general class of linear integro-differential equations. The estimates are applied to a scalar non-local Burgers equation and complete the global well-posedness results obtained in \cite{ISV}.
C. Imbert, Tianling Jin, R. Shvydkoy
semanticscholar   +1 more source

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

Effects of Long-Range Nonlinear Interactions in Double-Well Potentials [PDF]

, 2010
We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves.
Akhmediev, Albiez, Albuch, Ananikian, Asad-uz-Zaman, B.A. Malomed, Baizakov, Bang, Birnbaum, Birnbaum, Briedis, C. Wang, Cambournac, Chu, Cuevas, D.J. Frantzeskakis, Deiglmayr, Dounas-Frazer, Giovanazzi, Gligorić, Griesmaier, Griesmaier, Griesmaier, Grillakis, Kapitula, Kevrekidis, Kirr, Kivshar, Królikowski, Köhler, Lahaye, Lahaye, Lang, Löw, Mahmud, Maimistov, Malomed, Marinescu, Mayteevarunyoo, Mazets, Morsch, Nath, Nath, Ospelkaus, Ostrovskaya, P.G. Kevrekidis, Paré, Pedri, Pethick, Pitaevskii, Raghavan, Raghavan, Rotschild, Sacchetti, Sage, Shchesnovich, Sinha, Smerzi, Snyder, Stuhler, Sulem, Theocharis, Tikhonenkov, Tikhonenkov, Vakhitov, Wang, Werner, Wyller, Xiong, Zibold, Ziń   +70 more
core   +3 more sources

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

Existence of the solution to a nonlocal-in-time evolutional problem [PDF]

, 2014
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Makarov, Volodymyr, Sytnyk, Dmytro, Vasylyk, Vitalii   +2 more
core   +3 more sources

Two numerical methods for fractional partial differential equation with nonlocal boundary value problem

Advances in Differential Equations, 2018
The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation.
Mahmut Modanlı
semanticscholar   +1 more source

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