Title: Uniform convergence for the incompressible limit of a tumor growth model,
Abstract: We study a model introduced by Perthame and Vauchelet that describes the
growth of a tumor governed by Brinkman's Law, which takes into account friction
between the tumor cells. We adopt the viscosity solution approach to establish
an optimal uniform convergence result of the tumor density as well as the
pressure in the incompressible limit. The system lacks standard maximum
principle, and thus modification of the usual approach is necessary.