(Universidade Federal de Goiás, 2008-08-29) CARDOSO FILHO, João Lopes; ALARCON, Eduardo Arbieto; http://lattes.cnpq.br/5960048699820842
In this dissertação we deducted a nonlinear evolution equations which model vertical propagation of chemical reaction fronts. We establish which the initial value problem
∂tu - ∂²x u - ½(∂xu)² - µ(1-∂²x) - ½u = 0, x Є [-π, π], t > 0
u(.,0) = ø, 2 π - periódica
it is a the Cauchy problem locally well-posed.