RT Journal Article
T1 Convergence to travelling waves for quasilinear Fisher–KPP type equations
A1 Díaz Díaz, Jesús Ildefonso
A1 Kamin, S.
AB We consider the Cauchy problem ut = ϕ(u)xx + ψ(u), (t, x) ∈ R+ × R, u(0, x) = u0(x), x ∈ R, when the increasing function ϕ satisfies that ϕ(0) = 0 and the equation may degenerate at u = 0 (in the case of ϕ� (0) = 0). We consider the case of u0 ∈ L∞(R), 0  u0(x)  1 a.e. x ∈ R and the special case of ψ(u) = u − ϕ(u). We prove that the solution approaches the travelling wave solution (with speed c = 1), spreading either to the right or to the left, or to the two travelling waves moving in opposite directions.
PB Elsevier
SN 0022-247X
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/44510
UL https://hdl.handle.net/20.500.14352/44510
LA eng
NO Unión Europea. FP7
NO DGISPI, Spain
NO UCM
DS Docta Complutense
RD 26 dic 2025