3D Vector Field Formula and an Analog of the Neumann Problem in Field Theory
نویسندگان
چکیده
We obtain a necessary and sufficient condition for the relation ‖∇u‖2 = ‖curl u‖2 + ‖div between main operations of field theory (gradient, curl, divergence) on boundary domain. As an application, we consider analog classical Neumann problem in find right-hand side equation weak solution to be generalized solution.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-06138-7