曲率控制细胞和组织生长演化模型的Cauchy问题

Abstract

Abstract:

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.

Key words: The evolution of cells and tissue during curvature-controlled growth, Non-homogeneous quasilinear hyperbolic system, Priori estimation, Lifespan

CLC Number:

O175.2

Wang Zenggui. Cauchy Problem for the Evolution of Cells and Tissue During Curvature-Controlled Growth[J].Acta mathematica scientia,Series A, 2023, 43(3): 771-784.

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

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