Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains. (13th December 2018)

• Record Type: Journal Article
• Authors: Larkin, N. A.
• Other Names: Shmarev Sergey Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2018(2018)
• Publication Date: 2018-12-13
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2018/5807385
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : Initial-boundary value problems for 4D Navier-Stokes equations posed on bounded and unbounded 4D parallelepipeds were considered. The existence and uniqueness of regular global solutions on bounded parallelepipeds and their exponential decay as well as the existence, uniqueness, and exponential decay of strong solutions on an unbounded parallelepiped have been established provided that initial data and domains satisfy some special conditions.