A local existence of viscous self-organized hydrodynamic model

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• 作者：Teng-Fei Zhang^a ; ^{zhtengf@mail2.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Ning Jiang^b ; ^{njiang@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Self-organized hydrodynamics ; Viscous model ; Local existence ; Symmetrization
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：495-506
• 全文大小：598 K

文摘

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.