TY - JOUR
T1 - Nonuniform reaction rate distribution for the generalized Fisher equation
T2 - Ignition ahead of the reaction front
AU - Fedotov, Sergei
PY - 1999/1/1
Y1 - 1999/1/1
N2 - We have addressed the problem of wavefront propagation for the generalized Fisher equation involving diffusion transport with a finite velocity and a spatially nonuniform reaction rate. We have considered in detail the phenomenon of wavefront jump or ignition ahead of the reaction front for a piecewise constant reaction rate. By using a relativistic mechanics technique based on the principle of least action we have found the criterion under which the ignition phenomenon happens and the time of appearance of the new front ahead of the initial reaction front.
AB - We have addressed the problem of wavefront propagation for the generalized Fisher equation involving diffusion transport with a finite velocity and a spatially nonuniform reaction rate. We have considered in detail the phenomenon of wavefront jump or ignition ahead of the reaction front for a piecewise constant reaction rate. By using a relativistic mechanics technique based on the principle of least action we have found the criterion under which the ignition phenomenon happens and the time of appearance of the new front ahead of the initial reaction front.
UR - http://www.scopus.com/inward/record.url?scp=0001346214&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.60.4958
DO - 10.1103/PhysRevE.60.4958
M3 - Article
C2 - 11970364
AN - SCOPUS:0001346214
SN - 1063-651X
VL - 60
SP - 4958
EP - 4961
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
ER -