@ARTICLE{10.21494/ISTE.OP.2021.0665, TITLE={Shifting interface in the spacetime}, AUTHOR={Roger Prud’homme, }, JOURNAL={Thermodynamics of Interfaces and Fluid Mechanics}, VOLUME={5}, NUMBER={Issue 1}, YEAR={2021}, URL={http://openscience.fr/Shifting-interface-in-the-spacetime}, DOI={10.21494/ISTE.OP.2021.0665}, ISSN={2514-4642}, ABSTRACT={The macroscopic balance equations of the fluid interfaces were established by considering two scales of length and by means of some approximations, such as the conservation of the mixed velocity vector and of the gradient parallel to the crossing of the interfacial zone. We generalize this method to the case of four-interfaces in the presence of electromagnetic fields. The transition to space-time is indeed a means of obtaining a homogeneous presentation of the balance sheets.}}