Results 41 to 50 of about 53,002 (179)

On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions [PDF]

Abstract and Applied Analysis, 2007
The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.
Fairouz Zouyed, Faouzia Rebbani, Nadjib Boussetila   +2 more
openaire   +3 more sources

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip, Adams R A, Andreu-Vaillo F, Constantin A, Duruk N, Eringen A C, H A Erbay, Kunin I A, Ladas G E, Levine H A, Ogden R W, Rogula D, Runst T, S Erbay, Taylor M E   +14 more
core   +1 more source

On Singularity Formation of a Nonlinear Nonlocal System [PDF]

, 2009
We investigate the singularity formation of a nonlinear nonlocal system. This nonlocal system is a simplified one-dimensional system of the 3D model that was recently proposed by Hou and Lei in [13] for axisymmetric 3D incompressible Navier-Stokes ...
A. Cordoba, A.P. Calderon, Congming Li, D. Chae, D. Li, H. Okamoto, J. Duoandikoetxea, J.T. Beale, L. Caffarelli, M. Shelley, P. Constantin, P. Constantin, S. De Gregorio, S. De Gregorio, Shu Wang, T.Y. Hou, T.Y. Hou, T.Y. Hou, T.Y. Hou, T.Y. Hou, Thomas Y. Hou, Xinwei Yu, Zuoqiang Shi   +22 more
core   +3 more sources

Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions [PDF]

Complexity, 2018
The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the generalized Mnch fixed point theorem, we derive some sufficient conditions to ensure the ...
Jun Du, Wei Jiang, Denghao Pang, Azmat Ullah Khan Niazi   +3 more
openaire   +3 more sources

Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions

Topological Methods in Nonlinear Analysis, 2021
This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval. We first consider the evolution inclusion subjected to a local initial condition and prove an existence ...
Yu, Yang-Yang, Wang, Rong-Nian, Vrabie, Ioan I.   +2 more
openaire   +2 more sources

On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation [PDF]

, 2015
This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118.
Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen   +2 more
core   +3 more sources

Nonlocal looking equations can make nonlinear quantum dynamics local

, 1998
A general method for extending a non-dissipative nonlinear Schr\"odinger and Liouville-von Neumann 1-particle dynamics to an arbitrary number of particles is described. It is shown at a general level that the dynamics so obtained is completely separable,
A. Smerzi, B. D. Esry, B. Mielnik, B. Mielnik, B. Mielnik, E. M. Wright, G. A. Goldin, G. A. Goldin, H.-D. Doebner, H.-D. Doebner, H.-D. Doebner, I. Białynicki-Birula, I. Białynicki-Birula, J. Javanainen, J. Polchinski, M. Czachor, M. Czachor, M. Czachor, M. Czachor, M. J. Holland, M. R. Andrews, M.-O. Mewes, Marek Czachor, N. Gisin, N. Gisin, P. Nattermann, P. Nattermann, P. Nattermann, P. Nattermann, P. Nattermann, R. Haag, R. J. Ballagh, S. Stringari, S. Weinberg, T. F. Jordan, T.-L. Ho, W. Lücke   +36 more
core   +1 more source

Visco-potential free-surface flows and long wave modelling [PDF]

, 2008
In a recent study [DutykhDias2007] we presented a novel visco-potential free surface flows formulation. The governing equations contain local and nonlocal dissipative terms.
Bona, Bona, Bona, Boussinesq, Byatt-Smith, Chen, Chester, Denys Dutykh, Dias, Dias, Dutykh, Dutykh, Dyachenko, Dyachenko, Grimshaw, Joseph, Kakutani, Keulegan, Khabakhpashev, Khabakhpashev, Lamb, Lighthill, Liu, Liu, Liu, Liu, Longuet-Higgins, Matsuuchi, Mei, Mei, Miles, Sugimoto, Sugimoto, Torsvik, Wu, Zabusky, Zakharov, Zakharov   +37 more
core   +4 more sources

Stability of well-posed stochastic evolution equation

Heliyon, 2019
The stability of a non-classical stochastic evolution equation with impulsive and nonlocal initial conditions is examined from a general perspective.
S.A. Bishop, S.A. Iyase, H.I. Okagbue
doaj   +1 more source

Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity

, 2019
The Deser-Woodard (DW) nonlocal gravity model has been proposed in order to describe the late-time acceleration of the universe without introducing dark energy.
Chen, Che-Yu, Chen, Pisin, Park, Sohyun
core   +1 more source