4 problems

The Porous Medium Equation is expected to provide an approximation of the geometric Hele–Shaw free boundary problem. In particular, an incompressible limit would relate solutions o…

The paper studies tumor boundary stability for traveling waves and radially symmetric tumors under in vitro and in vivo nutrient supply regimes. In the in vivo regime, low-frequenc…

Let $d_0,d_1,\ldots,d_{N-1}\geq 0$ be the radiation doses in an $N$-fraction treatment, and let $\operatorname{BED}_T(d_k)$ and $\operatorname{BED}_O(d_k)$ denote the tumor and org…

Let $K_B$, $K_D$, $K_P$ and $K_Q$ be given by $(1.10)$, with coefficients satisfying … The unique radial stationary solution of the system $(1.12)$–$(1.18)$ is considered for suffi…