%0 Journal Article
%A Herrero, Miguel A.
%A Vázquez, Juan Luis
%T Thermal waves in absorbing media
%D 1988
%@ 0022-0396
%U https://hdl.handle.net/20.500.14352/57774
%X 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.
%~