The class of evolutionary ferrodynamic equations. (10th August 2020)

• Record Type: Journal Article
• Authors: Virchenko, Yu. P.; Subbotin, A. V.
• Other Names: Debbouche Amar guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 15(2021)
• Page Start: 11913
• Page End: 11922
• Publication Date: 2020-08-10
• Subjects: axial vector -- differential operators -- divergence type -- Landau‐Lifshitz' equation -- solenoidality -- unimodality; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6755
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The class K 2 of evolutionary equations for axial vector fields on ℝ 3 is described. All operators of the class are invariant with respect to space translations in ℝ 3, relative to time translations, and they are transformed by covariant way relative to rotations of ℝ 3 . The class M 2 ⊂ K 2 of second‐order differential operators is studied such that the corresponding evolution equations have the divergent type and each of them preserves the solenoidal property and the unimodality of the field. The explicit form of such operators is found.