TY - JOUR AU - Herrero, Miguel A. AU - Lacey, Andrew A. AU - Velázquez, J.J. L. PY - 1998 DO - 10.1007/s002050050091 SN - 0003-9527 UR - https://hdl.handle.net/20.500.14352/57666 T2 - Archive for Rational Mechanics and Analysis AB - The pair of parabolic equations u(t) = a Δ u + f(u,v), (1) v(t) = b Δ b - f(u, v), (2) with a > 0 and b > 0 models the temperature and concentration for an exothermic chemical reaction for which just one species controls the reaction rate f. Of... LA - eng M2 - 219 PB - Springer KW - Semilinear heat-equation KW - blow-up KW - boundedness TI - Global existence for reaction-diffusion systems modelling ignition TY - journal article VL - 142 ER -