On the Cauchy Problem for a Simple Degenerate Diffusion System
Masayasu Mimura · Publications of the Research Institute for Mathematical Sciences · 1969
§ le Introduction We consider the following Cauchy problem for the system of equations : Qu, — = dt (i.D dt in JRT-(-oo<jt;< + oo, 0</<FT) with the initial data u,(x9 0) - u10(x) uz(x, 0) = u20(x) u5(x, 0) - um(x) u4(x, 0) = UM(X), where the initial data are all non-negative and the coefficients d19 dz and d3 are positive constants. Such a system is considered one of the problems of diffusion accompanied by an immobilizing reaction of second order (2), (4).