Class description of evolutionary equations divergent type for a vector field

Author(s):  A.V. Subbotin, Belgorod National Research University, Belgorod, Russia

Issue:  Volume 50, № 4

Rubric:  Physics. Mathematical modeling

Annotation:  The class of evolution equations which have the divergent form is studied. Each such an equation control a dynamics of the vector field on R3 . It is invariant relative to space and time translations and it is transformed by covariant way at space rotations. It is proposed the description of the class of all evolution such equations.

Keywords:  Vector field, evolution equation, local conservation, flux density of vector field, unimodality

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