Algebraic criteria for global existence or blow-up for a boundary coupled system of nonlinear diffusion equations

Abstract

This article deals with the critical curves for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical curve of Fujita type is conjectured with the aid of some new results.

Keywords:

• Degenerate parabolic system
• Critical global existence curve
• Critical Fujita curve
• Blow-up

Keywords:

• Mathematics Subject Classifications (2000):
• 35K55
• 35K57
• 35K65

Acknowledgements

This work is supported in part by NNSF of China (10571126) and in part by Program for New Century Excellent Talents in University.