QUENCHING ON BOUNDARY TO THE NEWTON FILTRATION EQUATION (I)
Institution:
1. Perimeter Institute for Theoretical Physics, 31 Caroline St North, Waterloo ON, N2L 2Y5, Canada;2. Laboratoire de Physique, ENS Lyon, CNRS-UMR 5672, 46 allée d''Italie, Lyon 69007, France
Abstract:
This paper discusses the global existence and quenching of the solution to the Newton filtration equation with the nonlinear boundary condition. The authors also discuss the profile of the quenching solution in the quenching time and obtain the quenching rate of the quenching solution.