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Extremal Functions for a Mean Field Equation in Two Dimension
Extremal Functions a Mean Field Equation Two Dimension
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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
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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
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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...
NUMERICAL ANALYSIS FOR A MEAN-FIELD EQUATION FOR THE ISING MODEL WITHGLAUBER DYNAMICS
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2007/12/11
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
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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...