On the Formation of Structures in Nonlinear Problems of Physical Kinetics

Academician of the RAS V. B. Betelin^a^,* and V. A. Galkin^a^,^b^,^c^,**
Translated by I. Ruzanova

^aScientific Research Institute for System Studies, Federal Research Center, Russian Academy of Sciences, Moscow, 117218 Russia

^bTyumen Industrial University, Tyumen, 625000 Russia

^cSurgut State University, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, 628415 Russia

Correspondence to: *e-mail: betelin@niisi.msk.ru
Correspondence to: **e-mail: val-gal@yandex.ru

Received 30 October, 2018

Abstract—A number of phenomena associated with the formation of macroscopic structures due to the high interaction intensity of elements of spatially homogeneous systems and due to linear spatial transport in spatially inhomogeneous systems are addressed. A characteristic feature of the considered class of problems is the violation of the continuity of the operators describing the evolution of a system in natural norms determined by local conservation relations.

DOI: 10.1134/S1064562419010204