A local existence of viscous self-organized hydrodynamic model

作者：Zhang, Teng-Fei^*; Jiang, Ning

来源：Nonlinear Analysis: Real World Applications , 2017, 34: 495-506.

DOI：10.1016/j.nonrwa.2016.09.016

• Self-organized hydrodynamics
• Viscous model
• Local existence
• Symmetrization

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.

• 出版日期2017-4
• 单位中国地质大学（北京）; 武汉大学