Journal of Differential Equations· 2026Q1
Global and stationary solutions for a free boundary problem modeling a triple-layered tumor growth
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- Q1SCImago
- 2026year
Short summary
This paper establishes the global existence of a flat solution and investigates flat stationary solutions for a reaction-diffusion system modeling triple-layered tumor growth.
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Key points
- Global existence of a flat solution is proven for a triple-layered tumor growth model.
- The Schauder fixed point theorem and an approximation method were used to establish global existence.
- The study investigates the existence of flat stationary solutions under various parameter conditions.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this paper, we study a free boundary problem for a reaction-diffusion system modeling the growth of a triple-layered tumor. First, we establish the global existence of a flat solution by employing an approximation method and the Schauder fixed point theorem. Then, we investigate the existence of flat stationary solutions in various parameter regimes of the problem.
The authors' abstract, as published at the source. Journal of Differential Equations, 2026 · DOI ↗
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Field: Modeling and Simulation
Modeling and SimulationMathematics