... 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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... 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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... 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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... 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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... 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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... 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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... **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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... 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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... 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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... 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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... [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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... 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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... 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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... 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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... 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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... 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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... 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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... 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 AEKTA AGGARWAL ∗ , RINALDO ...of **nonlocal** and nonlinear systems of conservation laws in several space ...the **nonlocal** problem ...

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... 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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