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Extremal Functions for a Mean Field Equation in Two Dimension
Extremal Functions a Mean Field Equation Two Dimension
2014/4/3
Let be a bounded piecewise C 2 simply-connected domain. In thisarticle, we give necessary and sucient conditions for the existence ofmaximizer ofJ8( ) = log Zedx!116Zj 5 j2dx for 2 H10(). We pro...
Maxwell's theory of electrostatic is the basis of mathematics establishing a unified field equation
mathematics establishing field equation
2015/6/5
This article is based on the Maxwell's electromagnetic theory ，by the introduction of virtual particle cloud , and strict mathematics and physics verification ,firstly get the conclusion of gravitatio...
Modification of Field Equation and Natural Solution to cosmological problems
Background Coordinates Standard coordinates
2015/5/29
The present article has systematically solved the problem of galaxy formation and some significant cosmological puzzles. First a mistake with Einstein’s equation of gravitational field is corrected, n...
In this paper, a mean-field equation of motion which is derived by
Penrose (1991) for the dynamic Ising model with Glauber dynamics is
considered. Various finite difference schemes such as explicit ...
Analytic Lyapunov exponents in a classical nonlinear field equation
Analytic Lyapunov exponents classical nonlinear field equation
2010/11/2
It is shown that the nonlinear wave equation $\partial_t^2\phi - \partial^2_x \phi -\mu_0\partial_x(\partial_x\phi)^3 =0$, which is the continuum limit of the Fermi-Pasta-Ulam (FPU) beta model, has a...