field equations
A New Class of Exact Solutions to a Generalized form of Charap’s Nonlinear Chiral Field Equations of Field Theory
... Abstract. Exact solutions to a generalized form of the Charap’s nonlinear Chiral field equations have been presented for different values of the coupling constants. In most of the situations the solutions ...
10
Derivation of mean field equations for stochastic particle systems
... • Mean-field equations (11) are often used as approximations in other geometries such as symmetric or asymmetric dynamics on d-dimensional regular lattices. As usual, the larger the dimension the better the ...
27
Laws of Large Numbers and Langevin Approximations for Stochastic Neural Field Equations
... mean field equations involves two limit ...mean field by taking the number of populations to infinity (continuum ...integro-differential equations such as the Wilson–Cowan equation ...
54
Finite-Size Effects on Traveling Wave Solutions to Neural Field Equations
... Neural field equations are used to describe the spatio-temporal evolution of the activity in a network of synaptically coupled populations of neurons in the continuum ...neural field equation with a ...
35
Evolutionary physical constants in Einstein’s field equations and the redshift
... We will follow Maharaj and Naidoo’s (1993) approach to include variable gravitational constant 𝐺 and cosmological constatnt Λ in the Einstein’s field equations, and generalize it to include the variable ...
5
A Global Solution of the Einstein Maxwell Field Equations for Rotating Charged Matter
... our equations, this provides a full explanation why Blackett’s formula is sometimes valid and why this occurs only for a range of ...the equations derived from the exact global solution of the ...
10
Numerical Approximations of Phase Field Equations with Physics Informed Neural Networks
... phase field equations of increased ...phase field equations, these techniques could prove useful in solving other difficult classes of partial differential equations as ...
35
Approximation Method for the Relaxed Covariant Form of the Gravitational Field Equations for Particles
... This result gives great freedom in the problem of find- ing solutions of the field equations in terms of a refer- ence metric. Suppose that one solves (15) for a given vector field H . Also assume ...
8
Continuation of localised coherent structures in nonlocal neural field equations
... neural field equations to use connectivity functions defined either directly in the real domain or the Fourier domain without recourse to PDE methods, provided that the sigmoidal firing rate be smooth and ...
22
Stability of the stationary solutions of neural field equations with propagation delays
... non-delayed equations share exactly the same stationary solutions, also called persistent ...neural field equations, it is necessary to know all their stationary solutions and the dynamics in the ...
28
Soliton-Like Spherical Symmetric Solutions of the Nonlinear Spinor Field equations in General Relativity
... spinor field equations with a power-law nonlinearity have regular solutions with a localized energy density of the spinor field only if m = 0 (m is the mass parameter in the spinor field ...
12
Plane Symmetric Solutions to the Nonlinear Spinor Field Equations in General Relativity Theory
... gravitational field. It is shown that the initial set of the Einstein and spinor field equations with a power-law nonlinearity have regular solutions with a localized energy density of the spinor ...
13
On Transient Simulation of Field Equations
... the field equations is concern, it is a well-established ma- thematical principle that solutions are possible only for the time space from zero to ...
9
Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton Like Solutions
... spinor field equations with nonlinear terms which are arbitrary functions of S , taking into account their own gravitational ...detail equations with power and polynomial ...spinor field ...
8
Well Behaved Parametric Class of Exact Solutions of Einstein Maxwell Field Equations in General Relativity
... Einstein-Maxwell field equations with reference to the general relativistic prediction of gravitational ...external field of such ball is to be matched with Reissener-Nordstrom ...
6
Field Equations in C4 Space-Time
... geodesic equations, firstly in the symplectic R 8 space and afterwards in the embedded R 4 in R 8 , to proceed to the field equations in the same spirit as general relativity ...
11
The Precise Inner Solutions of Gravity Field Equations of Hollow and Solid Spheres and the Theorem of Singularity
... The precise inner solutions of gravity field equations of hollow and solid spheres are calculated in this paper. To avoid space curvature infinite at the center of solid sphere, we set an integral constant ...
8
An Adaptive, Multilevel Scheme for the Implicit Solution of Three-Dimensional Phase-Field Equations
... This paper presents what the authors believe to be the first example of the successful application of parallelism, adaptivity, implicit time-stepping and multigrid together, for the solution of three-dimensional ...
18
A geometrical analysis of the field equations in field theory
... 1. Introduction. In recent years, there have been new developments in the study of multisymplectic Hamiltonian systems [2] and, in particular, their application to de- scribe field theories. In this study, multivector ...
13
Solution of Flow Field Equations and Verification of Cavitation Problem on Spillway of the dam
... flow field and cavitation problem on dam ...velocity field, free water surface profiles and other ...momentum equations have been transformed to a coordinate system with axis tangent and normal to ...
18