曲率控制细胞和组织生长演化模型的Cauchy问题

Cauchy Problem for the Evolution of Cells and Tissue During Curvature-Controlled Growth

该文研究了一类由曲率控制细胞和组织生长演化的Cauchy问题,根据支撑函数的定义,将拟线性退化的演化方程转化成一类非齐次拟线性双曲方程组.进一步通过对拟线性双曲方程组的解的先验估计,证明了该双曲曲率流Cauchy问题经典解的生命跨度.

In this paper,We consider Cauchy problem for the evolution of cells and tissue during curvature-controlled growth.By the definition of Riemann invariants,the evolution equation can be rewritten as a non-homogeneous quasilinear hyperbolic system.the lifespan of classical solution to the initial value problem is given by a priori estimation of the solution of the quasilinear hyperbolic system.