Special Session 13: Hyperbolic Partial Differential Equations and Applications

Formation of singularities for the relativistic membrane equation with radial symmetry
Jianli Liu
Shanghai university
Peoples Rep of China
Co-Author(s):    
Abstract:
The relativistic membrane equation can be rewritten as a first order hyperbolic system. Making use of the characteristic decomposition method, a new blow-up theorem is established. It demonstrates the formation of singularities for the relativistic membrane equation. Indeed, the singularity occurs when the hypersurface turns from being timelike to being null. This work is cooperated with Dr. Cai Lv of Shanghai University.