Bifurcation for a free boundary problem modeling the growth of necrotic multilayered tumors

Junde Wu
2019 Discrete and Continuous Dynamical Systems. Series A  
In this paper we study bifurcation solutions of a free boundary problem modeling the growth of necrotic multilayered tumors. The tumor model consists of two elliptic differential equations for nutrient concentration and pressure, with discontinuous terms and two free boundaries. The novelty is that different types of boundary conditions are imposed on two free boundaries. By bifurcation analysis, we show that there exist infinitely many branches of non-flat stationary solutions bifurcating from
more » ... ns bifurcating from the unique flat stationary solution. 2010 Mathematics Subject Classification. Primary: 35B32, 35R35; Secondary: 35Q92.
doi:10.3934/dcds.2019140 fatcat:h3i3nvlhzjfg7opabn6b74bs5y