In this paper, under consideration is a boundary value problem for a quasilinear parabolic equation describing the cementation process in the hardening of a steel specimen. Its solution is compared with the solution to an analogous linear problem. It is shown that by selecting a diffusion coefficient and boundary and initial conditions in the linear case it is possible to obtain a two-sided estimate for the solution to the nonlinear problem using the solution to the linear problem.
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Science News of the Faculty of Physics, Lomonosov Moscow State University
This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.