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Five types of blow-up patterns that can occur for the 4th-order semilinearparabolic equation of reaction-diffusion type  $$ u_t= -\Delta^2 u + |u|^{p-1} u \quad {in} \quad \ren \times (0,T), p>1,\quad \lim_{t \to T^-}\sup_{x \in \ren} |u(x,t)|= +\iy, $$ are discussed. Forthe semilinear heat equation $u_t= \Delta u+ u^p$, various blow-up patternswere under scrutiny since 1980s, while the case of higher-order diffusion wasstudied much less, regardless a wide range of its application.

Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach