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Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
Gladkov, A.,Kim, K.I. Academic Press 2008 Journal of mathematical analysis and applications Vol.338 No.1
In this paper, we consider a semilinear heat equation u<SUB>t</SUB>=Δu+c(x,t)u<SUP>p</SUP> for (x,t)@?Ωx(0,∼) with nonlinear and nonlocal boundary condition u|<SUB>@</SUB>?<SUB>&</SUB>Omega;<SUB>x(0,∼</SUB>;<SUB>)</SUB>=∫<SUB>&</SUB>Omega;k(x,y,t)u<SUP>l</SUP>dy and nonnegative initial data where p>0 and l>0. We prove global existence theorem for max(p,l)=<1. Some criteria on this problem which determine whether the solutions blow up in a finite time for sufficiently large or for all nontrivial initial data or the solutions exist for all time with sufficiently small or with any initial data are also given.
김우영,A. Gladkov,V. Kavtanyuk,선용근,C. C. Yun,J. W. Kim 한국물리학회 2015 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.66 No.3
Polarized rare isotope (RI) beams have been designed at the Rare Isotope Science Project (RISP)for the study of the nuclear-structure, nuclear-reaction and astrophysics experiments. A powerfulmethod has been adopted for this work − the production of polarized RI beams via projectilefragmentation. The in-flight system line was designed for this purpose at the RISP by using theprojectile fragmentation method. The working principle, schematic design and experiments to beperformed at the RISP will be presented.