%A Svintradze,David V.
%D 2017
%J Frontiers in Physics
%C
%F
%G English
%K Moving Manifolds,electromagnetic field,Hydrophobic and Hydrophilic Interactions,membrane dynamics,Macromolecular dynamics
%Q
%R 10.3389/fphy.2017.00037
%W
%L
%N 37
%M
%P
%7
%8 2017-August-31
%9 Hypothesis and Theory
%+ David V. Svintradze,Department of Physics, Tbilisi State University,Tbilisi, Georgia,david.svintradze@tsu.ge
%#
%! Moving Manifolds
%*
%<
%T Moving Manifolds in Electromagnetic Fields
%U https://www.frontiersin.org/article/10.3389/fphy.2017.00037
%V 5
%0 JOURNAL ARTICLE
%@ 2296-424X
%X We propose dynamic non-linear equations for moving surfaces in an electromagnetic field. The field is induced by a material body with a boundary of the surface. Correspondingly the potential energy, set by the field at the boundary can be written as an addition of four-potential times four-current to a contraction of the electromagnetic tensor. Proper application of the minimal action principle to the system Lagrangian yields dynamic non-linear equations for moving three dimensional manifolds in electromagnetic fields. The equations in different conditions simplify to Maxwell equations for massless three surfaces, to Euler equations for a dynamic fluid, to magneto-hydrodynamic equations and to the Poisson-Boltzmann equation.