A semilinear parabolic system arising in the nuclear reactors
This note studies global existence and blow up of solutions of the following initial boundary value problem, which arises in nuclear reactors modeling \[ u_{1t}- \Delta u_1= u_1(Bu_2- b),\;u_{2t}- \Delta u_2= au_1,\qquad x\in \Omega, \] \[ {\partial u_1\over \partial n}= 0,\;{\partial u_2\over \partial n}+ \alpha u_2= 0,\;x\in \partial\Omega,\;u_1(x, 0)= u_{10}(x)\geq 0,\;u_2(x, 0)= u_{20}(x)\geq 0,\;x\in \overline\Omega. \]
scientific article; zbMATH DE number 713514