RT Journal Article
T1 Thermal waves in absorbing media
A1 Herrero, Miguel A.
A1 Vázquez, Juan Luis
AB We discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption         ut = a(um)xx – bu(n)with a, b> 0 and m, n Є R. Several situations occur depending on the relative strength of the diffusion and absorption terms reflected by their exponents m and n. We characterize the existence of finite travelling waves in terms of m and n, show their uniqueness up to translations in space and time, and derive their velocity from the wave profile near the interface or front.
PB Elsevier
SN 0022-0396
YR 1988
FD 1988-08
LK https://hdl.handle.net/20.500.14352/57774
UL https://hdl.handle.net/20.500.14352/57774
LA eng
NO CAICYT
DS Docta Complutense
RD 11 abr 2025