The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric is characterized by the Nicolai map. latter generated coupling flow functional differential operator, which can be canonically constructed when supersymmetry realized off shell. Given any scalar superfield theory, we present universal formula for both map its inverse ...

A vectorial nonlocal linear hyperbolic problem with applications in superconductors of type-I is studied. The nonlocal term is represented by a (space) convolution with a singular kernel, which is arising in Eringen’s model. The well-posedness of the problem is discussed under low regularity assumptions and the error estimates for two time-discrete schemes (based on backward Euler approximation...

In this paper, we consider a dynamical model of population biology which is of the classical Fisher type, but the competition interaction between individuals is nonlocal. The existence, uniqueness, and stability of the steady state solution of the nonlocal problem on a bounded interval with homogeneous Dirichlet boundary conditions are studied. Mathematics subject classification (2010). 35K57 ·...

We report ${J}^{\ensuremath{\pi}}={0}^{+}$ ground-state energies and point-proton radii of $^{4}\mathrm{He}$, $^{8}\mathrm{Be}$, $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{20}\mathrm{Ne}$ nuclei calculated by the ab initio no-core Monte Carlo shell model with JISP16 Daejeon16 nonlocal $NN$ interactions. Ground-state are obtained in basis spaces up to seven oscillator shells $({N}_{\mathrm{shell}}...

We report ${J}^{\ensuremath{\pi}}={0}^{+}$ ground-state energies and point-proton radii of $^{4}\mathrm{He}$, $^{8}\mathrm{Be}$, $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{20}\mathrm{Ne}$ nuclei calculated by the ab initio no-core Monte Carlo shell model with JISP16 Daejeon16 nonlocal $NN$ interactions. Ground-state are obtained in basis spaces up to seven oscillator shells $({N}_{\mathrm{shell}}...

The absorbing "ricepile" model with stochastic toppling rules has been numerically studied. Local limited, local unlimited, nonlocal limited, and nonlocal unlimited versions of the absorbing model have been investigated. Transport properties and different dynamical regimes of all of the models have been analyzed, from the point of view of self-organized criticality. Phase transitions between di...

We introduce a one-dimensional phenomenological model of a nonlocal medium featuring focusing cubic and defocusing quintic nonlocal optical nonlinearities. By means of numerical methods, we find families of solitons of two types, even-parity (fundamental) and dipole-mode (odd-parity) ones. Stability of the solitons is explored by means of computation of eigenvalues associated with modes of smal...

This paper presents an image interpolation model with nonlocal p-Laplacian regularization. The nonlocal p-Laplacian regularization overcomes the drawback of the partial differential equation PDE proposed by Belahmidi and Guichard 2004 that image density diffuses in the directions pointed by local gradient. The grey values of images diffuse along image feature direction not gradient direction un...