Statement of the boundary value problem on the graph
Analysis of differential equations encountered in various applications, which are interpreted as equations in graphs. Using graph properties to create a high-quality theory of such equations and methods for their solution. Description of the graph struc
Подобные документы
Detailed arguments showing that the set of Maxwell equations, and the corresponding wave equations, do not properly describe the evolution of electromagnetic wave-fronts. Criticism of the theory of electromagnetism. Modified the Maxwell equations.
книга, добавлен 11.09.2012The consider the Yang-Mills theory in connection with the Einstein and Maxwell equations. The model of a metric satisfying the basic requirements of particle physics and cosmology is proposed. The basic equations of the model of the cosmological scale.
статья, добавлен 29.04.2017A theoretical derivation of the homogeneous Maxwell equations, based on Stokes theorem for Minkowski space tensors. The Maxwell equations for the electromagnetic field and the Lorentz 4-force law for a charged particle. A consequence of the antisymmetry.
статья, добавлен 11.09.2012Maxwell’s equations with a glance of anisotropic vacuum. The approximation of the weak anisotropy in charges’ absence condition. Methods of analysis a dependence of a light’s speed on polarization. The material equations in case of the time tensor.
доклад, добавлен 02.07.2014Analytical comparison of the accuracy of numerical solutions obtained by the FDTD method and the Godunov method in solving telegraph equations. The advantages of the design scheme based on the Godunov method in the analysis of dynamic modes in long lines.
статья, добавлен 02.02.2019Analysis of the solution of nonlinear equations for finding the extremum of functions. Extension of the domain of convergence from different initial approximations that do not satisfy the conditions for the convergence of the classical Newton method.
статья, добавлен 21.06.2018Maxwell’s equations and the equations governing charged particle dynamics. The relevant entities in these equations. Ambiguities in the definitions of the electromagnetic fields. A related term in the energy equation. Geodesics and Lorentz force.
статья, добавлен 11.09.2012Establishment of a system of equations for quantum electrodynamics in which an electron, like any other charge, has an electric and a magnetic field. Description of the eigenvector fields using scalar and vector potentials satisfying the equations.
статья, добавлен 28.04.2017Closed model of the turbulent boundary layer, obtained from the Navier-Stokes equations. Fundamental constants of near-wall turbulence, including the Karman constant. Determination of the accelerated and nonisothermal boundary layer over a rough surface.
статья, добавлен 27.04.2017Electric field of radio frequency. Mathematical model of multiphase cylindrical apparatus for bulk materials treatment. Connected circular arc-shaped boundary on the basis of the field coupling problem of the theory of singular integral equations.
статья, добавлен 29.07.2016Development of the Connection: Coulomb's Law, Ampere's Law with Displacement Current, Faraday's Law. Other Equations of Electromagnetism. Continuity Equation and transformation properties of the connection. The first Chern class and Lorentz Force.
статья, добавлен 11.09.2012A framework for effective equations of expectation values in quantum cosmology and pose for them the quantum Cauchy problem with tunneling wavefunctions. The eld-theoretical sector of inhomogeneous modes. The technique of manifest quantum reduction.
научная работа, добавлен 09.09.2012The effectiveness of the solution algorithms, integration of Euler’s method. Substantial foundations of the theory of creep. Requirements for a number of material constants that describe the experiment. Foundations of hypotheses of the microstrains.
статья, добавлен 29.11.2016Euler equations for 2D unsteady motion of a compressible medium when two components of the velocity vector, density and pressure, act as unknowns. Relations for simple algebraic combinations of unknowns, convenient for solving hydromechanical problems.
статья, добавлен 29.04.2019The necessity of using a synergistic effect in energy systems that include vertical axial wind power plants. The ways of achieving a synergistic effect at different levels of the system hierarchy. The Navier-Stokes differential equations solution.
статья, добавлен 07.09.2022The problems of quantum gravity, the search for consistent schemes for the equations in quantum field theory. Perturbation theory and the Schwinger-DeWitt technique. A regular covariant method is for expanding the one-loop action in powers of curvatures.
книга, добавлен 09.09.2012Obtaining the asymptotic solution of the weakly nonlinear scalar oscillator resulting amplitude equation. The regular perturbation method generally feature secular behavior. The renormalization group method proposed by Chen, Goldenfeld, and Oono.
статья, добавлен 09.09.2012The synergetic model of boundary friction - the system of equations for the stress, strain and temperature, describing the nontrivial behavior of the ultra thin lubricant film. The influence of shear modulus deformation defect on hysteresis phenomena.
статья, добавлен 30.07.2016The task on the classification of the linear stochastic differential Ito equation of a given type which changes due to the parameters appearing in this equation. The study is a table full of group classification of the equations. Lie operation algebra.
статья, добавлен 22.01.2017The blackbody radiation problem within classical physics is reviewed. Discussion of Fundamental Constants. Analysis Maxwell’s equations. Linear and Nonlinear Oscillator Scatterers. Wien Displacement Law and the Mismatch with the Boltzmann Distribution.
статья, добавлен 11.09.2012Analyzed of the fundamental ideas of mathematical physics, which are accepted as the foundation in the attempt to solve the Navier-Stokes. Characteristic of the equations of dynamics of Hamilton. Completed the principal part of empirical physics.
статья, добавлен 30.03.2017The propagation of electromagnetic waves in inhomogeneous isotropic lines in the presence of expofunctional influences. Differential equations like the wave equation relative to the unknown electromagnetic field intensities, criteria of solvability.
статья, добавлен 26.06.2016The problem of decomposition of the relativistic equations for two particles in powers of 1/c to higher orders. Salpeter equation-Breit for hermitian forms with interaction. Generating functions for the first iteration of the transformed hamiltonian.
статья, добавлен 13.10.2016Equations of motion for nuclear shape variables which establish a direct connection of the memory effects with the dynamic distortion of the Fermi surface. Applying the non-Markovian dynamics to the description of the nuclear giant multipole resonances.
статья, добавлен 12.09.2013A new hydrodynamic theory. The structure formation in deformed materials. Self-consistent non-local formulation of the boundary-value problem for a high-strain-rate process. A penetration for a flat rigid plate into a viscous elastic medium.
статья, добавлен 28.10.2018