TY - JOUR
T1 - Front propagation in hyperbolic fractional reaction-diffusion equations
AU - Méndez, Vicenç
AU - Ortega-Cejas, Vicente
PY - 2005/5/1
Y1 - 2005/5/1
N2 - From the continuous-time random walk scheme and assuming a Lévy waiting time distribution typical of subdiffusive transport processes, we study a hyperbolic reaction-diffusion equation involving time fractional derivatives. The linear speed selection of wave fronts in this equation is analyzed. When the reaction-diffusion dimensionless number and the fractional index satisfy a certain condition, we find fronts exhibiting an unphysical behavior: they travel faster in the subdiffusive than in the diffusive regime. © 2005 The American Physical Society.
AB - From the continuous-time random walk scheme and assuming a Lévy waiting time distribution typical of subdiffusive transport processes, we study a hyperbolic reaction-diffusion equation involving time fractional derivatives. The linear speed selection of wave fronts in this equation is analyzed. When the reaction-diffusion dimensionless number and the fractional index satisfy a certain condition, we find fronts exhibiting an unphysical behavior: they travel faster in the subdiffusive than in the diffusive regime. © 2005 The American Physical Society.
U2 - https://doi.org/10.1103/PhysRevE.71.057105
DO - https://doi.org/10.1103/PhysRevE.71.057105
M3 - Article
SN - 1539-3755
VL - 71
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
M1 - 057105
ER -