A local existence of viscous self-organized hydrodynamic model. (April 2017)

• Record Type: Journal Article
• Authors: Zhang, Teng-Fei; Jiang, Ning
• Is Part Of: Nonlinear analysis. Volume 34(2017)
• Page Start: 495
• Page End: 506
• Publication Date: 2017-04
• Subjects: Self-organized hydrodynamics -- Viscous model -- Local existence -- Symmetrization; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.09.016
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We establish the local existence result of self-organized hydrodynamic model with viscosity in three dimension case, which was proposed in Degond–Liu–Motsch–Panferov's previous work and was left as one open case. Our strategy relies on the suitable symmetrizing the SOH model in spherical coordinates, which enables us to control the commutator arising in the pressure contribution terms during the process of energy estimate.