Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
Mathematical and Numerical Studies on Blow-up Rate of Solutions to Some Quasilinear Parabolic Equation
Tetsuya Ishiwata
Shibaura Institute of Technology Japan
Co-Author(s): Koichi Anada, Takeo Ushijima
Abstract:
In this talk, we discuss the blow-up rate of solutions to some quasilinear parabolic equations. In particular, we focus on type II blow-up solutions and show the mathematical results and the numerical observations. We also introduce our numerical estimation method for blow-up rate using the scale invariance.