Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
The blow-up rate for some nonlinear evolution equations in the log non-scaling invariance case
Mohamed Ali Hamza
Imam Abdulrahman Bin Faisal University
Saudi Arabia
Co-Author(s):    Hatem Zaag
Abstract:
In this talk, we discuss some evolution equations with logarithmic nonlinearity in the subconformal case. We show that the blow-up rate of any singular solution to the problem is like the ODE solution associated. In other terms, all blow-up solutions in the subconformal range are Type I solutions. This will constitute a good start in proving that the scale invariance property is not crucial in deriving the blow-up rate.
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