solidot新版网站常见问题,请点击这里查看。

Uniform convergence for the incompressible limit of a tumor growth model. (arXiv:1704.06281v1 [math.AP])

来源于:arXiv
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. 查看全文>>