Nonlocal interactions
Top PDF Nonlocal interactions:
Stress state influence on nonlocal interactions in damage modelling
... The nonlocal interactions are set constant all along calculation leading to unacceptable damage profile at the ...the interactions between points on both sides of this crack should ...
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Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
... ferent nonlocal interactions including the Coulomb interactions in 3D/2D and the interaction kernel taken as either the Green’s function of the Laplace operator in 3D/2D/1D or nonlocal ...
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Photoenhanced excitonic correlations in a Mott insulator with nonlocal interactions
... the nonlocal interactions [ 16 – 19 ] or the modification of the spin back- ground [ 10 ...from nonlocal interac- tions, but they cannot describe exciton ...and nonlocal interactions on ...
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Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
... We use Newtonian potentials W 1 = W 2 = 0.1N , K = N for inter and intra-specific interactions, with a mobility β = 0.3. At the beginning of the simulation, we observe that the predator is getting closer to the ...
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Patterning in systems driven by nonlocal external forces
... coulombic nonlocal interactions deriving from an effective pairwise interaction potential, W (x − x ), can be additively introduced in F (η(x,t)) [ 8 , 11 ], as shown by Leibler [ 12 ], and Ohta and ...
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Nonlocal damage formulation with evolving internal length: the Eikonal nonlocal approach
... 1 INTRODUCTION During the development of nonlinearities, the soften- ing behavior of some materials (e.g. ductile failure in metals, quasi-brittle failure in concrete, etc.) leads to the appearance of a localization ...
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Continuum limits of nonlocal $p$-Laplacian variational problems on graphs
... Nonlocal p-Laplacian variational problems on graphs Yosra Hafiene ∗ Jalal ...a nonlocal variational problem which consists of minimizing in L 2 the sum of a quadratic data fidelity and a regularization ...
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Maximum principles, sliding techniques and applications to nonlocal equations
... I have so far only investigate the one dimensional case. Maximum and com- parison principles in multi-dimension for various type of nonlocal operators are currently under investigation and appears to be largely be ...
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Some contributions to geometric variational problems involving nonlocal energies
... In this thesis we present a few contributions to geometric variational problems involving nonlocal energies. Those contributions may be sorted into two main different topics: the first one is the geometry and ...
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A nonlinear parabolic equation with a nonlocal boundary term
... Solvability subject to a nonlocal Robin BC has been studied in [ 11–13 ]. Numerical study based on monotonicity methods has been performed in [ 14 ]. The paper is organized as follows. First we perform the time ...
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Dirac mass dynamics in multidimensional nonlocal parabolic equations
... [17] W. H. Fleming and P. E. Souganidis. PDE-viscosity solution approach to some problems of large deviations. Ann. Scuola Norm. Sup. Pisa Cl. Sci., 4:171–192, 1986. [18] S. Genieys, V. Volpert, and P. Auger. Pattern and ...
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Persisting entropy structure for nonlocal cross-diffusion systems
... Briefly, the idea in [7] is that, on a particle model with discrete space variable, the entropy structure is obtained by imposing that a pair of particles is jumping together with a suitable rate. Trying to use this idea ...
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Nonlocal Patch-Based Label Fusion for Hippocampus Segmentation
... robust and reliable automatic extraction of anatomical structures. Recently, template-warping methods incorporating a label fusion strategy have demonstrated high accuracy in segmenting cerebral structures. In this ...
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Barenblatt profiles for a nonlocal porous media equation
... Presented by ... Abstract We study a generalization of the porous medium equation involving nonlocal terms. More precisely, explicit self- similar solutions with compact support generalizing the Barenblatt ...
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Nonlocal, noncommutative diagrammatics and the linked cluster Theorems
... any substitution that acts as the identity on S, the same property holds also true of ∆(φi(xT )), from which the Lemma follows. 3 Some remarkable Hopf algebras Our favorite examples in view of applications to quantum ...
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Nonlocal models for interface problems between dielectrics and metamaterials
... with sign-changing coefficients. Numerical results indicate that the proposed nonlocal model has some key advantages over the local one. I. I NTRODUCTION In electromagnetism, one can model materials that exhibit ...
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Nonlocal effects in sand flows on an inclined plane
... A. Nonlocal rheology Gravity-driven particulate flows are not only a central issue in many geophysical processes but also of great concern in a variety of technological domains involving chemical, phar- ...
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Introduction of an internal time in nonlocal integral theories
... for nonlocal models. The main drawback of the classical nonlocal integral theory [1] consists in the nonphysical interaction, through the nonlocal averaging process, of points across a crack or a ...
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Nonlocal systems of conservation laws in several space dimensions
... NONLOCAL SYSTEMS OF CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS AEKTA AGGARWAL ∗ , RINALDO ...of nonlocal and nonlinear systems of conservation laws in several space ...the nonlocal problem ...
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Adaptation to a heterogeneous patchy environment with nonlocal dispersion
... the nonlocal dispersion and the fragmentation of the environ- ment is significant in many situations, as in the adaptation of forest trees to the climate change because of the effect of the wind on the seeds or ...
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