Sufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear-convection processes

Díaz Díaz, Jesús IldefonsoÁlvarez, Luis2023-06-202023-06-201991-03-010022-247X10.1016/0022-247X(91)90008-Nhttps://hdl.handle.net/20.500.14352/57512We study the initial behavior of the fronts (for interfaces) generated by the solutions of the equation ut=(um)xx+b(uλ)x, where m,b,λ>0 are real numbers. We derive a mass comparison principle that allows us to give necessary and sufficient conditions in order to have waiting time at the fronts. Different regions in the (λ,m) parameter space must be introduced, leading to answers of a very different natureengSufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear-convection processesjournal articlehttp://www.sciencedirect.com/science/article/pii/0022247X9190008Nhttp://www.sciencedirect.com/restricted access517.95diffusion-convection equationmass comparison principlewaiting timesEcuaciones diferenciales1202.07 Ecuaciones en Diferencias