Special Session 2: Hyperbolic Partial Differential Equations and Applications
The Global existence of solutions of the 3D Keller-Segel system with planar helical flow
Weike Wang
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    
Abstract:
We introduce the planar helical flows on three dimensional torus and study the dissipation enhancement of such flows. Then use such flows as transport flows to solve the three dimensional Keller-Segel equations. The global classical solution of the three dimensional Keller-Segel is ensured for any size of the torus with arbitrarily large initial data.
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